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Type of morphism
applications to mathematics, a normal monomorphism or conormal epimorphism is a particularly well-behaved type of morphism. A normal category is a category in
Normal_morphism
Map (arrow) between two objects of a category
and existence of an identity morphism for every object), and the outcome of the composition is a morphism. Morphisms and categories recur in much of
Morphism
Scheme theory concept
mathematics, in particular in algebraic geometry, a flat morphism f from a scheme X to a scheme Y is a morphism such that the induced map on every stalk is a flat
Flat_morphism
Concept in algebraic geometry
finite if the inverse image of every point is finite and the morphism is proper. A morphism of varieties is birational if it restricts to an isomorphism
Normal_scheme
Concept in mathematics
naturally the structure of a locally ringed space; a morphism between algebraic varieties is precisely a morphism of the underlying locally ringed spaces. If X
Morphism of algebraic varieties
Morphism_of_algebraic_varieties
a scheme will be a scheme over some fixed base scheme S and a morphism an S-morphism. Contents: !$@ A B C D E F G H I J K L M N O P Q R S T U V W XYZ
Glossary of algebraic geometry
Glossary_of_algebraic_geometry
Concept in algebraic geometry
an étale morphism (French: [etal]) is a morphism of schemes that is formally étale and locally of finite presentation; the étale morphism is connected
Étale_morphism
Generalization of the kernel of a homomorphism
have zero morphisms. In that case, if f : X → Y is an arbitrary morphism in C, then a kernel of f is an equaliser of f and the zero morphism from X to
Kernel_(category_theory)
Theorem of algebraic geometry and commutative algebra
normal point under a proper birational morphism is connected. A generalization due to Grothendieck describes the structure of quasi-finite morphisms of
Zariski's_main_theorem
algebraic geometry, a contraction morphism is a surjective projective morphism f : X → Y {\displaystyle f:X\to Y} between normal projective varieties (or projective
Contraction_morphism
Scheme in algebraic geometry
} In particular, if X → S {\displaystyle X\to S} is a smooth morphism, then the normal bundle to the diagonal embedding Δ : X ↪ X × S ⋯ × S X {\displaystyle
Normal cone (algebraic geometry)
Normal_cone_(algebraic_geometry)
Species of fish
(straight) mouth, but a morph with an upturned mouth is found locally in eastern Lake Natron, where it co-occurs with the normal morph. A. latilabris and A
Alcolapia_alcalica
Quotient space of a codomain of a linear map by the map's image
between Hilbert spaces) is an object Q and a morphism q : Y → Q such that the composition q f is the zero morphism of the category, and furthermore q is universal
Cokernel
Species of bird
Birds intermediate between the normal morph and the white morph are known as Würdemann's heron; these birds resemble a "normal" great blue with a white head
Great_blue_heron
Species having two or more distinct forms
for classical genetics by John Maynard Smith (1998). The shorter term morphism was preferred by the evolutionary biologist Julian Huxley (1955). Various
Polymorphism_(biology)
over a scheme S and if i is an S-morphism, then i is a regular embedding. In particular, every section of a smooth morphism is a regular embedding. If Spec
Regular_embedding
Overview of and topical guide to category theory
Monomorphism Zero morphism Normal morphism Dual (category theory) Groupoid Image (category theory) Coimage Commutative diagram Cartesian morphism Slice category
Outline_of_category_theory
Mathematical mapping between objects arising from their definitions
closely related notion is that of a structure map or structure morphism: the map or morphism that comes with the given structure on the object. These are
Canonical_map
Concept in algebraic geometry
morphism of schemes generalizes a morphism of algebraic varieties just as a scheme generalizes an algebraic variety. It is, by definition, a morphism
Morphism_of_schemes
Injective homomorphism
called a monic morphism or a mono) is a left-cancellative morphism. That is, an arrow f : X → Y such that for all objects Z and all morphisms g1, g2: Z →
Monomorphism
Genus of birds
halli typically appear pale-eyed, while adults of M. giganteus of the normal morph typically appear dark-eyed (occasionally flecked paler). Classic examples
Giant_petrel
Isomorphism of an object to itself
some category, an automorphism is a morphism of the object to itself that has an inverse morphism; that is, a morphism f : X → X {\displaystyle f:X\to X}
Automorphism
Species of snake
morphs, such as Nuclears (extreme red), High Whites and Reduced Patterns, for example. loveridgei subspecies "normal" morph Albino morph Stripe morph
Eryx_colubrinus
Elements taken to zero by a homomorphism
identity morphisms. A zero object is an object of a category in which there exists exactly one morphism going to every object and exactly one morphism from
Kernel_(algebra)
Structure-preserving map between two algebraic structures of the same type
category theory, an isomorphism is defined as a morphism that has an inverse that is also a morphism. In the specific case of algebraic structures, the
Homomorphism
Species of carpet sharks
often be seen in adult sandy zebra sharks. This morph, which is genetically inseparable from the normal morph, is only known from the vicinity of Malindi
Zebra_shark
Group of mathematical theorems
and morphisms whose existence can be deduced from the morphism f : G → H {\displaystyle f:G\rightarrow H} . The diagram shows that every morphism in the
Isomorphism_theorems
Singularities of algebraic varieties
birational morphism f from a smooth variety Y to X such that f is an isomorphism over X – S and the inverse image of S is a divisor with simple normal crossings
Normal_crossing_singularity
conditions the fibers of a morphism of varieties are connected. It is an extension of Zariski's main theorem to the case when the morphism of varieties need not
Zariski's connectedness theorem
Zariski's_connectedness_theorem
Category with direct sums and certain types of kernels and cokernels
abelian. Specifically: AB1) Every morphism has a kernel and a cokernel. AB2) For every morphism f, the canonical morphism from coim f to im f is an isomorphism
Abelian_category
Generalization of strings in computer science
z_{1}z_{3},\qquad y\equiv z_{2}z_{4}.} A dependency morphism (with respect to a dependency D) is a morphism ψ : Σ ∗ → M {\displaystyle \psi :\Sigma ^{*}\to
Trace_monoid
Type of category in category theory
will denote the projection morphisms, and ik will denote the injection morphisms. The diagonal morphism is the canonical morphism ∆: A → A ⊕ A, induced by
Additive_category
Sequence of homomorphisms such that each kernel equals the preceding image
morphism t : B → A {\displaystyle t:B\to A} such that t ∘ f {\displaystyle t\circ f} is the identity on A {\displaystyle A} . There exists a morphism
Exact_sequence
Formal semantics for non-classical logic systems
Kripke semantics are called p-morphisms (which is short for pseudo-epimorphism, but the latter term is rarely used). A p-morphism of Kripke frames ⟨ W , R
Kripke_semantics
Aspect of category theory
categories with zero morphisms, one can define a cokernel of a morphism f as the coequalizer of f and the parallel zero morphism. In preadditive categories
Coequalizer
mathematics, the image of a morphism is a generalization of the image of a function. Given a category C {\displaystyle C} and a morphism f : X → Y {\displaystyle
Image_(category_theory)
sends cartesian morphisms to cartesian morphisms. cartesian morphism 1. Given a functor π: C → D (e.g., a prestack over schemes), a morphism f: x → y in
Glossary_of_category_theory
Mathematical parametrization of vector spaces by another space
That is, bundle morphisms for which the following diagram commutes: (Note that this category is not abelian; the kernel of a morphism of vector bundles
Vector_bundle
of maps (or "morphisms"). The key result is: Chevalley's theorem. If f : X → Y {\displaystyle f:X\to Y} is a finitely presented morphism of schemes and
Constructible_set_(topology)
Generalisation of Jacobian variety
\operatorname {Alb} (V)} together with a morphism V → Alb ( V ) {\displaystyle V\to \operatorname {Alb} (V)} such that any morphism from V {\displaystyle V} to an
Albanese_variety
^{-1}({\mathcal {O}}_{X}^{\times })\to {\mathcal {O}}_{X}^{\times }} . A morphism of (pre-)log structures consists in a homomorphism of sheaves of monoids
Log_structure
Construct in algebraic geometry
smooth morphism vanishes. Furthermore, when any of the functors which extended the sequence of Kähler differentials were applied to a smooth morphism, they
Cotangent_complex
Long exact sequence
embedding of codimension d, Y' → Y a morphism and i': X' = X ×Y Y' → Y' the induced map. Let N be the pullback of the normal bundle of i to X'. Then the refined
Gysin_homomorphism
Family of beetles
Ptinellodes) are polymorphic, with two morphs so distinct that they appear to be different species or genera. There is a normal morph with well-developed eyes, wings
Ptiliidae
Mathematical function between groups that preserves multiplication structure
h(G) is isomorphic to the quotient group G/ker h. The kernel of h is a normal subgroup of G. Assume u ∈ ker ( h ) {\displaystyle u\in \operatorname
Group_homomorphism
Mathematical concept
resolution is a morphism that combines symplectic geometry and resolution of singularities. Let π : Y → X {\displaystyle \pi :Y\to X} be a morphism between complex
Symplectic_resolution
Special type of lattice
Because such a morphism of lattices preserves the lattice structure, it will consequently also preserve the distributivity (and thus be a morphism of distributive
Distributive_lattice
Transformations induced by a mathematical group
G-maps. The composition of two morphisms is again a morphism. If a morphism f is bijective, then its inverse is also a morphism. In this case f is called an
Group_action
Algebraic variety with a group structure
\mathrm {H} } , respectively, into H {\displaystyle \mathrm {H} } ). A morphism between two algebraic groups G , G ′ {\displaystyle \mathrm {G} ,\mathrm
Algebraic_group
1993 video game
have found all 36 cogs the uncle can fix the machine and Morph can change back to his normal form, a boy. It is designed and written on Amiga and ST for
Morph_(video_game)
Species of bird
exclusively; they are of course perfectly interfertile with individuals of the normal morph however. The maroon-bellied parakeet is common in woodland, and forest
Maroon-bellied_parakeet
Theorem in homological algebra
the connecting homomorphism. Furthermore, if the morphism f is a monomorphism, then so is the morphism ker a ⟶ ker b {\displaystyle \ker a~{\color
Snake_lemma
Concept in algebraic geometry
be a normal surface. A genus g {\displaystyle g} fibration f : X → B {\displaystyle f:X\to B} of X {\displaystyle X} is a proper flat morphism f {\displaystyle
Canonical_bundle
Type of geometric transformation
fundamental transformation in birational geometry, because every birational morphism between projective varieties is a blowup. The weak factorization theorem
Blowing_up
Mathematical category whose hom sets form Abelian groups
the composition of a zero morphism and any other morphism (on either side) must be another zero morphism. If you think of composition as analogous to multiplication
Preadditive_category
Category
coproducts, making them biproducts; given any morphism f: A → B in C, the equaliser of f and the zero morphism from A to B exists (this is by definition the
Pre-abelian_category
Branch of mathematics
b\to \operatorname {coker} c} Furthermore, if the morphism f is a monomorphism, then so is the morphism ker a → ker b, and if g' is an epimorphism, then
Homological_algebra
Mathematical function
the hyperplane normal to the space curve at t = c is also normal to the tangent at t = c. Any vector in this plane (p − a) must be normal to dr(t)/dt|t
Function_of_a_real_variable
is a canonical morphism r : Xred → X. Every morphism from X to a reduced analytic space factors through r. An analytic space is normal if every stalk
Analytic_space
Concept from algebraic geometry
space). The linear functional t X {\displaystyle t_{X}} is called a trace morphism. A pair ( ω X , t X ) {\displaystyle (\omega _{X},t_{X})} , if it is exists
Dualizing_sheaf
Geometry definition file format
each vertex, the UV position of each texture coordinate vertex, vertex normals, and the faces that make each polygon defined as a list of vertices, and
Wavefront_.obj_file
Moduli scheme of subschemes of a scheme, represents the flat-family-of-subschemes functor
natural morphism to an n-th symmetric product of M. This morphism is birational for M of dimension at most 2. For M of dimension at least 3 the morphism is
Hilbert_scheme
, XN]. A resolution is defined as minimal if the image in each module morphism of free modules φ:Fi → Fi − 1 in the resolution lies in JFi − 1, where
Homogeneous_coordinate_ring
Melanistic squirrel
Black morphs of the eastern gray and fox squirrels are the result of a variant pigment gene. Several theories have surfaced as to why the black morph occurs
Black_squirrel
Mathematical theory in the field of algebraic geometry
theorems state that, given a proper flat morphism of schemes X → S {\displaystyle X\to S} , there exists a morphism S ′ → S {\displaystyle S'\to S} (called
Semistable_reduction_theorem
Algebraic structure in ring theory
faithfully flat quasi-compact morphism of schemes has this property.). See also Flat morphism § Properties of flat morphisms. A ring homomorphism R → S {\displaystyle
Flat_module
Order-preserving mathematical function
Comparability Graph Duality Filter Hasse diagram Ideal Net Subnet Order morphism Embedding Isomorphism Order type Ordered field Positive cone of an ordered
Monotonic_function
Species of snake
around a year old. For its first year, roughly, the snake presents with normal coloration before several scales will begin to turn white. Some keepers
Boaedon_capensis
Concept in algebraic geometry
morphism has the property that L {\displaystyle L} is the pullback f ∗ O ( 1 ) {\displaystyle f^{*}{\mathcal {O}}(1)} . Conversely, for any morphism f
Ample_line_bundle
via category-theoretic techniques, and a notion of Drazin inverse for a morphism of a category, has been recently initiated by Cockett, Pacaud Lemay and
Drazin_inverse
Species of snake
under the ground in soil, amongst grass roots. A buff-striped keelback (normal form) The body of the snake The snake being held by the head The snake twisting
Buff_striped_keelback
Well-quasi-ordering of finite trees
Comparability Graph Duality Filter Hasse diagram Ideal Net Subnet Order morphism Embedding Isomorphism Order type Ordered field Positive cone of an ordered
Kruskal's_tree_theorem
Species of fish
dwarf, 'normal', and normal-sized anadromous fish, and Lake Ellasjøen on Bear Island has a dwarf, small littoral and large pelagic morph. In 2004, a previously
Arctic_char
Surgery operation in minimal model program
a morphism to Y. If the relative canonical ring is finitely generated (as an algebra over O Y {\displaystyle {\mathcal {O}}_{Y}} ) then the morphism f
Flip_(algebraic_geometry)
Tiger morph
The white tiger is a leucistic morph of the tiger, typically the Bengal tiger. White tigers have the typical black stripes of a tiger, but its coat is
White_tiger
Phenomenon in materials science
since each crystal morph is a phase of matter, this implies that under normal circumstances, there exists only a single crystal morph at thermodynamic equilibrium
Disappearing_polymorph
Generalization of vector bundles
sections. Let f : X → Y {\displaystyle f:X\to Y} be a morphism of ringed spaces (for example, a morphism of schemes). If F {\displaystyle {\mathcal {F}}} is
Coherent_sheaf
Kind of partial function between algebraic varieties
U ) {\displaystyle (f_{U},U)} in which f U {\displaystyle f_{U}} is a morphism of varieties from a non-empty open set U ⊂ V {\displaystyle U\subset V}
Rational_mapping
Degradation of functioning of the brain
occur in the brain as individuals advance in age. It encompasses both the normal alterations which are universally experienced and abnormalities induced
Aging_brain
reduced scheme X {\displaystyle X} can be said to be seminormal if every morphism Y → X {\displaystyle Y\to X} which induces a homeomorphism of topological
Seminormal_ring
Type of algebraic structure
_{0}^{\infty }I^{n}/I^{n+1}} . A morphism f : N → M {\displaystyle f:N\to M} of graded modules, called a graded morphism or graded homomorphism , is a homomorphism
Graded_ring
Equivalence relation in algebra
group, the equivalence class containing the identity element is always a normal subgroup, and the other equivalence classes are the other cosets of this
Congruence_relation
important applications in spectral theory. If C is a cone in a TVS X then C is normal if U = [ U ] C {\displaystyle {\mathcal {U}}=\left[{\mathcal {U}}\right]_{C}}
Ordered topological vector space
Ordered_topological_vector_space
algébrique Fiber product of schemes Flat morphism Smooth scheme Finite morphism Quasi-finite morphism Proper morphism Semistable elliptic curve Grothendieck's
List of algebraic geometry topics
List_of_algebraic_geometry_topics
the act of taking a limit of a family of varieties. Precisely, given a morphism π : X → C , {\displaystyle \pi :{\mathcal {X}}\to C,} of a variety (or
Degeneration (algebraic geometry)
Degeneration_(algebraic_geometry)
Color variation of Tiger
caused by a recessive gene. Like white tigers and black tigers, it is a morph, and not a separate subspecies. Known for its blonde or pale-golden color
Golden_tiger
dominant if the gene in question is required in two copies to elicit a normal phenotype (i.e. haploinsufficient). Hypomorphic describes a mutation that
Muller's_morphs
Species of snake
New variations, or morphs, become available every year as breeders gain a better understanding of the genetics involved. Normal / Carolina / Wildtype
Corn_snake
Projective variety that is also an algebraic group
abelian varieties carry the structure of a group. A morphism of abelian varieties is a morphism of the underlying algebraic varieties that preserves
Abelian_variety
Species of lizard
to 75 grams in weight, with females being slightly smaller than males. Normal coloring is brown and tan/beige stripes, with a possible thin white stripe
African_fat-tailed_gecko
German filmmaker (born 1965)
BloodRayne franchise in a contemporary setting involving her trying to live a normal life. Natassia Malthe was expected to return, and was expected to be loosely
Uwe_Boll
Relationship between programs and proofs
\times \beta \to \gamma } is a morphism, λ t : α → β → γ {\displaystyle \lambda t:\alpha \to \beta \to \gamma } is a morphism. Equivalently to the annotations
Curry–Howard_correspondence
Algebraic structure used in logic
there is a unique morphism f′ : H/F → H′ satisfying f′pF = f. The morphism f′ is said to be induced by f. Let f : H1 → H2 be a morphism of Heyting algebras
Heyting_algebra
Algebraic correspondence
In algebra, a normal homomorphism is a ring homomorphism R → S {\displaystyle R\to S} that is flat and is such that for every field extension L of the
Normal_homomorphism
Rare color mutation of an eastern gray squirrel
occurrence of both white squirrels, albinos, and other piebald morphs in the United States. White morphs are a common coloration in some populations of Finlayson's
White_squirrel
generalized Gysin morphism of the fundamental class of Y {\displaystyle Y} . The first map in the definition of the Gysin morphism corresponds to specializing
Virtual_fundamental_class
Concept in algebraic geometry
variety W. A strong desingularization of X is given by a proper birational morphism from a regular variety W′ to W subject to some of the following conditions
Resolution_of_singularities
which leaves no place for the separatist Mechanical City to exist. Because normal troops could not successfully attack the Mechanical City, he plans for the
List of The Legend of Qin episodes
List_of_The_Legend_of_Qin_episodes
1986 American science-fiction film by Randal Kleiser
Specifically, it was the first use of image-based lighting and an early use of morphing in a motion picture. It is one of the first Hollywood productions to feature
Flight_of_the_Navigator
covariant Frobenius element Frobenius endomorphism (also known as Frobenius morphism, Frobenius map) Frobenius determinant theorem Frobenius formula Frobenius
List of things named after Ferdinand Georg Frobenius
List_of_things_named_after_Ferdinand_Georg_Frobenius
NORMAL MORPHISM
NORMAL MORPHISM
Boy/Male
Assamese, Bengali, Celebrity, Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Punjabi, Sikh, Sindhi, Tamil, Telugu, Traditional
Kindness; Clean; Pure; Talent Person; The One who is Pure
Surname or Lastname
English, Irish (Ulster), Scottish, and Dutch
English, Irish (Ulster), Scottish, and Dutch : name applied either to a Scandinavian or to someone from Normandy in northern France. The Scandinavian adventurers of the Dark Ages called themselves norðmenn ‘men from the North’. Before 1066, Scandinavian settlers in England were already fairly readily absorbed, and Northman and Normann came to be used as bynames and later as personal names, even among the Saxon inhabitants. The term gained a new use from 1066 onwards, when England was settled by invaders from Normandy, who were likewise of Scandinavian origin but by now largely integrated with the native population and speaking a Romance language, retaining only their original Germanic name.French : regional name for someone from Normandy.Dutch : ethnic name for a Norwegian.Jewish (Ashkenazic) : variant of Nordman.Jewish : Americanized form of some like-sounding Ashkenazic name.Swedish : from norr ‘north’ + man ‘man’.Albert Andriessen Bradt, a settler in Rensselaerswijck on the upper Hudson River in NY, was originally from Norway and was known as de Norrman (‘the Norwegian’). The waterway south of Albany which powered his mills became known as the Normanskill (‘the Norman’s Waterway’), by which name it is still known today.
Boy/Male
Biblical
Treasurer of Nergal.
Male
English
English form of Norwegian Normund, NORMAND means "north protection."
Male
Scottish
Scottish form of Irish Gaelic Cormac, CORMAG means "son of defilement."
Boy/Male
Afghan, Arabic
Handsome
Female
Italian
 Italian name invented by Felice Romani in his libretto for Belini's opera of the same name, derived from Latin norma, NORMA means "standard, rule." Compare with another form of Norma.
Boy/Male
American, Australian, French, Scottish
From the Northern Town
Girl/Female
American, Australian, British, Chinese, Christian, Danish, English, Finnish, French, German, Latin, Swedish
From the North; Pattern; Courage; Norseman; Rule; Standard; Female Version of Norman
Female
English
 Feminine form of English Norman, NORMA means "northman." Compare with another form of Norma.
Boy/Male
French Teutonic American English German
From the north.
Girl/Female
Indian
Soft
Boy/Male
Scottish American
From the north valley.
Girl/Female
Latin American
Rule; pattern. Can also be a feminine form of Norman: from the North.
Girl/Female
Indian, Punjabi, Sikh, Telugu
Pure; Without Any Impurity
Biblical
treasurer of Nergal
Boy/Male
Shakespearean
Hamlet, Prince of Denmark' Fortinbras, Prince of Norway.
Female
English
English name derived from the gem name, from Latin corallium, probably ultimately from Hebrew goral, CORAL means "small pebble."
Male
English
English form of Teutonic Nordemann, NORMAN means "northman."
Boy/Male
Hindu
Clean, Pure
NORMAL MORPHISM
NORMAL MORPHISM
Girl/Female
Indian, Punjabi, Sikh
Meditative One
Girl/Female
Gujarati, Hindu, Indian, Telugu
Earth; Rays of Sun; Diamond
Girl/Female
Biblical
Black.
Boy/Male
Australian, Danish, German, Greek, Swedish
Victorious Person
Boy/Male
Latin
Name of a king.
Girl/Female
Tamil
Revered
Girl/Female
Tamil
Materialistic knowledge, Top level of intelligence
Surname or Lastname
English
English : occupational name for a swineherd or shepherd, from Middle English hog(ge) ‘hog’, ‘swine’ or hogg ‘yearling sheep’ + herd, hard ‘herdsman’, but see also Hogarth.
Boy/Male
Indian
Divine of Power
Girl/Female
Indian
Gita ka Ansh
NORMAL MORPHISM
NORMAL MORPHISM
NORMAL MORPHISM
NORMAL MORPHISM
NORMAL MORPHISM
n.
See Wormil.
a.
Denoting that series of hydrocarbons in which no carbon atom is united with more than two other carbon atoms; as, normal pentane, hexane, etc. Cf. Iso-.
a.
According to an established norm, rule, or principle; conformed to a type, standard, or regular form; performing the proper functions; not abnormal; regular; natural; analogical.
a.
Serving to teach or convey a moral; as, a moral lesson; moral tales.
a.
Done in due form, or with solemnity; according to regular method; not incidental, sudden or irregular; express; as, he gave his formal consent.
n.
See Wormil.
a.
Human; belonging to man, who is mortal; as, mortal wit or knowledge; mortal power.
a.
Both renal and portal. See Portal.
n.
The quality, state, or fact of being normal; as, the point of normalcy.
a.
Not according to rule; abnormal.
a.
According to a square or rule; perpendicular; forming a right angle. Specifically: Of or pertaining to a normal.
a.
Of or pertaining to Normandy or to the Normans; as, the Norman language; the Norman conquest.
a.
Denoting certain hypothetical compounds, as acids from which the real acids are obtained by dehydration; thus, normal sulphuric acid and normal nitric acid are respectively S(OH)6, and N(OH)5.
a.
Pertaining to, or situated near, the back, or dorsum, of an animal or of one of its parts; notal; tergal; neural; as, the dorsal fin of a fish; the dorsal artery of the tongue; -- opposed to ventral.
n.
See Mormal.
a.
Sound; normal.
a.
Northern; pertaining to the north, or to the north wind; as, a boreal bird; a boreal blast.
a.
Having the form or appearance without the substance or essence; external; as, formal duty; formal worship; formal courtesy, etc.
adv.
In a normal manner.
a.
Alt. of Loral