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the theorems of generic flatness and generic freeness state that under certain hypotheses, a sheaf of modules on a scheme is flat or free. They are
Generic_flatness
Scheme theory concept
called faithfully flat if it is both surjective and flat. Two basic intuitions regarding flat morphisms are: flatness is a generic property; and the failure
Flat_morphism
Mathematical technique in algebraic geometry
Noetherian induction. It has many applications, including the proof of generic flatness and the proof that higher direct images of coherent sheaves under proper
Dévissage
three lists of generic and genericized trademarks are: marks that were originally legally protected trademarks, but have been genericized and have lost
List of generic and genericized trademarks
List_of_generic_and_genericized_trademarks
Algebraic structure in ring theory
study of flatness to the case of local rings. They are often expressed by saying that flatness is a local property. The definition of a flat morphism
Flat_module
Generic flat stone usually used for paving
A flagstone, or flag, is a generic flat stone, sometimes cut in regular rectangular or square shape and usually used for paving slabs or walkways, patios
Flagstone
not require k to be uncountable. Quillen's original short proof uses generic flatness. Quillen, D. (1969). "On the endomorphism ring of a simple module over
Quillen's_lemma
Use of the pronoun you to refer to an unspecified person
place of one, the singular impersonal pronoun, in colloquial speech. The generic you is primarily a colloquial substitute for one. For instance, "Brushing
Generic_you
Koszul complex Spectrum of a ring Zariski topology Kähler differential Generic flatness Irrelevant ideal Locally ringed space Coherent sheaf Invertible sheaf
List of algebraic geometry topics
List_of_algebraic_geometry_topics
This article lists a number of common generic forms in place names in the British Isles, their meanings and some examples of their use. The study of place
List of generic forms in place names in the British Isles
List_of_generic_forms_in_place_names_in_the_British_Isles
Flat, thin, and big stone
and its derivatives, there are many toponyms among them. Flagstone, a generic flat stone Headstone, placed over a grave Sandstone, type of sedimentary rock
Stone_slab
Respirator with a rubber face seal
Filters may be contained in cartridges or canisters; there are also flexible flat and pancake-style filters (see illustrations). Filters are usually mounted
Elastomeric_respirator
Species of fish
lights, but are not often eaten because of their green-colored flesh. The generic name Ablennes – formerly misspelled Athlennes – means 'without mucosity'
Flat_needlefish
Extinct family of molluscs
moderately involute shell with a compressed trapezoidal whorl section, nearly flat ventral and lateral areas, and slight dorsal impression. The suture has a
Centroceratidae
Swiss physicist (b. 1956)
Because the original model did not address the questions of entropy and flatness, Brandenberger and his colleagues have been working on improving it. During
Robert_Brandenberger
Amusement ride
Bumper cars or dodgems are the generic names for a type of flat amusement ride consisting of multiple small electrically powered cars which draw power
Bumper_cars
Semiconductor equipment
recipes for products. The SECS (SEMI Equipment Communications Standard)/GEM (Generic Equipment Model) standards do all this in a defined way. Developed by the
SECS/GEM
Domain at the highest level of the DNS hierarchy
domain structure as consisting of generic top-level domains and two-letter country code top-level domains. The generic domains listed at that time were
Top-level_domain
Topics referred to by the same term
body, the front of the head. Face may also refer to: Face (geometry), a flat (planar) surface that forms part of the boundary of a solid object Face (hieroglyph)
Face_(disambiguation)
British politician (born 1982)
in flats wrapped in flammable materials, and 3.6 million had fire-related defects and faced a wait of 10 years before they could sell their flat or get
Robert_Jenrick
Type of commutative ring in mathematics
remarkable characterization of Cohen–Macaulay rings, sometimes called miracle flatness or Hironaka's criterion. Let R be a local ring which is finitely generated
Cohen–Macaulay_ring
Extinct genus of arthropods
plana derives directly from the Latin word plana, to mean "flat", relating the overall flatness of this species. Liwia is a member of the order nektaspida
Liwia
Mexican manufacturing company
PPG's flat glass unit for $750 million". U.S. Archived from the original on 2022-10-04. Retrieved 2025-11-06. {{cite news}}: |first= has generic name (help)
Vitro
Aspect of photography history
was an Angénieux trademark before losing exclusive status. The original generic term is "inverted telephoto". A telephoto lens (multiple inventions, 1891)
History of the single-lens reflex camera
History_of_the_single-lens_reflex_camera
Company
social media to revenue". internet RETAILER. {{cite web}}: |author= has generic name (help) "Top 500 Guide". internet RETAILER. Retrieved 19 October 2011
J&P_Cycles
System for defining and representing engineering tolerances
ISBN 978-0-7918-3192-2. "GD&T, Geometric Dimensioning and Tolerancing, GD&T, Flatness, Circularity, Flatness Tolerance, Circularity Tolerance". cobanengineering.com. Retrieved
Geometric dimensioning and tolerancing
Geometric_dimensioning_and_tolerancing
original on April 30, 2024. Retrieved May 1, 2024. {{cite web}}: |last= has generic name (help) "Melvin b/w Come Back". Numero Group. Archived from the original
Numero_Group_discography
the isomonodromy equations for generic Fuchsian systems. The natural interpretation of these equations is as the flatness of a natural connection on a vector
Isomonodromic_deformation
discrete valuation ring whose spectrum has one closed point and one open (generic) point. We glue these spectra together by identifying their open points
Flat_topology
Period in Argentine cinema history
technical process but also as the arena where ideological frameworks and generic conventions were established. The institutionalization of narrative followed
Golden Age of Argentine cinema
Golden_Age_of_Argentine_cinema
Prime Minister of the United Kingdom since 2024
Guardian. ISSN 0261-3077. Retrieved 4 July 2026. {{cite news}}: |last2= has generic name (help) "Keir Starmer: The politics of a U-turn". BBC News. 9 February
Keir_Starmer
Display devices or content having horizontal resolution of approximately 2,000 pixels
2K resolution is a generic term for display devices or content having a horizontal resolution of approximately 2,000 pixels. In the movie projection industry
2K_resolution
were classed K 87–106, quickly recoded to KC to avoid confusion with generic flat wagons. When that traffic dried up the wagons were used interchangeably
Victorian Railways flat wagons
Victorian_Railways_flat_wagons
First-level administrative division of Russia
population of Komi adheres to the Russian Orthodox Church, 4% are unaffiliated generic Christians, 1% are Rodnovers or Komi native religious believers, 1% are
Komi_Republic
2025 Indian film by Sekhar Kammula
gave 3/5 stars and wrote "While Kuberaa carefully steers away from the generic nature of commercial entertainers, the end seems like an easy way out and
Kuberaa
American serial killer (1946–1989)
innocence. Other significant obstacles for law enforcement were Bundy's generic, essentially anonymous physical features, and a curious chameleon-like
Ted_Bundy
List of responses to the #MeToo movement
De Pauw to face stalking charges". vrtnws.be. {{cite web}}: |last= has generic name (help) Antwerpen rouwt en protesteert met stille tocht voor vermoorde
International response to the MeToo movement
International_response_to_the_MeToo_movement
Archived from the original (PDF) on March 24, 2018. {{cite web}}: Cite uses generic title (help) "Hindu Succession Act, 1956" (PDF). chanda.nic.in. Archived
Timeline of women's legal rights (other than voting) in the 20th century
Timeline_of_women's_legal_rights_(other_than_voting)_in_the_20th_century
American multinational technology company
of Cohorts File System Firebase Firebase Studio Firebase Cloud Messaging FlatBuffers Flutter Freebase Gadgets Ganeti Gears Gerrit Global Cache GLOP gRPC
Protestant Reformation ad fundum to the bottom i.e., "bottoms up!" (during a generic toast) or "back to the basics", depending on context. ad hoc to this i
List_of_Latin_phrases_(full)
2026 film by Andrew Stanton
Richard Lawson of The Hollywood Reporter felt the plots being "so broad and generic" and considered "much more powerful to see really detailed, specific stories
In the Blink of an Eye (2026 film)
In_the_Blink_of_an_Eye_(2026_film)
Engagement of the Sicilian Wars
τόν βασιλέα τών Λιβύων); based on the fact that the term Libyan was very generic. In support of this hypothesis it is reported that also Massinissa Berber
Agathocles' expedition to Africa
Agathocles'_expedition_to_Africa
Group of standard library class templates
Collections.Generic.PriorityQueue in .NET, or std::collections::BinaryHeap in Rust. The std::flat_set<T> data structure implements a "flat set", which
Sequence_container_(C++)
Processes by which whistles make sound
A.; Kurniawan, D.; Knotts, B.D.; Novak, J.M. (2002). "Whistles with a Generic Side Branch: Production and Suppression". Journal of Sound and Vibration
Physics_of_whistles
Foot arch deformity
the foot (rolling inwards), although the term 'flat foot' is still applicable as it is a somewhat generic term. Muscular training of the feet is helpful
Flat_feet
September 27, 2017. Retrieved September 27, 2017. {{cite web}}: Cite uses generic title (help) "Wayback Machine" (PDF). ocgov.net. Archived from the original
List of New York fire departments
List_of_New_York_fire_departments
The same would apply to the generic she, bringing a female image to mind. She has traditionally been used as a generic pronoun when making generalizations
Gender neutrality in languages with gendered third-person pronouns
Gender_neutrality_in_languages_with_gendered_third-person_pronouns
Concept in algebraic geometry
5, Matsumura, Commutative Ring Theory (1989). D. Gaitsgory's notes on flatness and smoothness at http://www.math.harvard.edu/~gaitsgde/Schemes_2009/BR/SmoothMaps
Smooth_scheme
American dark comedy drama television series
writing despite repeated challenges. Initially answering the question with a generic response, Ava changes her mind and reaffirms that comedy writing is a difficult
Hacks
Extinct subfamily of molluscs
medlicottiids. Genera of the Uddenitinae have narrow discoidal shells with narrow flat or sometimes grooved venters. Sutures are goniatitic to ceratitic with rounded
Uddenitinae
1967 studio album by Vanilla Fudge
heavy metal". Louder. Retrieved June 14, 2025. {{cite web}}: |last4= has generic name (help) Collins, Paul. Vanilla Fudge [1967 - Vanilla Fudge] at AllMusic
Vanilla_Fudge_(album)
2026 studio album by Madonna
The Arts Desk's Thomas H. Green headlined that the album mingled "the generic with nuggets of gold". He further referred to the album as a "bold, righteous
Confessions_II
Chairman and managing director – Oberoi Realty Limited
original on 2026-01-13. Retrieved 2026-06-27. {{cite web}}: |first= has generic name (help) "Married to THIS Bollywood actress and running a Rs 60,000-crore
Vikas_Oberoi
Self-contained housing unit occupying part of a building
stories tall, and with outdoor parking space, while apartment is more generic and may also include luxury condominiums. In Japanese English loanwords
Apartment
another name … The Guardian, 18 May 2017. Hoyle, W.E. (1910). A list of the generic names of dibranchiate Cephalopoda with their type species. Abhandlungen
List of giant squid specimens and sightings
List_of_giant_squid_specimens_and_sightings
Mathematical function, inverse of an exponential function
440 Hz then the note B-flat has a frequency of 466 Hz. The interval between A and B-flat is a semitone, as is the one between B-flat and B (frequency 493 Hz)
Logarithm
Ethnic group native to Saint-Domingue
peoples found in Saint-Domingue: The Bambaras. Bambara was often used as a generic term for African slaves. European traders used Bambara as a term for defining
Saint-Domingue_Creoles
2024 Indian film
construction". Onmanorama. Retrieved 1 May 2024. {{cite news}}: |author1= has generic name (help) ETimes.in (5 July 2023). "Prithviraj Sukumaran-Basil Joseph's
Guruvayoor_Ambalanadayil
US federal government program
PBMs reportedly earned $7.3 billion in revenue from markups on specialty generic drugs. Contract pharmacy fees also vary by drug type and insurance status
340B_Drug_Pricing_Program
Species of lizard
trade. The generic name, Uroplatus, is a Latinization of two Greek words: "ourá" (οὐρά) meaning "tail" and "platys" (πλατύς) meaning "flat". Its specific
Lined_flat-tail_gecko
Western Red Winter (CWRW)/Canada Eastern Hard Red Winter (CEHRW), can be "generic" (feed) and "select" for milling varies 295/245 avg. 59.2/60.3 avg. 6.6/6
Wheat_grain_classes
Gamma matrices for arbitrary Clifford algebras
in generic settings in Riemannian geometry, particularly when a spin structure can be defined. Consider a space-time of dimension d with the flat Minkowski
Higher-dimensional gamma matrices
Higher-dimensional_gamma_matrices
Film by John Woo
Killer is loaded with action scenes, and they never feel phoned in or generic". David Ehrlich of IndieWire wrote "The Killer doesn’t stray too broadly
The_Killer_(2024_film)
Social media platform owned by Meta
encourages users to make tags both specific and relevant, rather than tagging generic words like "photo", to make photographs stand out and to attract like-minded
Argentine filmmaker (born 1963)
Eugenie Brinkema, for instance, describes Irreversible as "ethically, generically, subjectively" disruptive: "the rape [...] is real, it is private, it
Gaspar_Noé
American actor (born 1973)
Fructose Adventures of Annoying Orange Henry Applesauce (voice) Episode: "Generic Holiday Special" 2012 Kick Buttowski: Suburban Daredevil Larry Wilder (voice)
Jim_Parsons
Film by Denis Villeneuve
the cultural and religious complexities of the book and opted for a more generic portrayal of people of color without specific representation from Middle
Dune_(2021_film)
Minor basilica in Bogotá, Colombia
image in which art and craftsmanship are fused and are included within the generic denomination of "light imagery". At the end of the 19th century, industrial
Basilica of the Sacred Heart of Jesus, Bogotá
Basilica_of_the_Sacred_Heart_of_Jesus,_Bogotá
Duggan Chris Swanson vs. John James vs. Mike Duggan Generic Democrat vs. Mike Cox vs. Mike Duggan Generic Democrat vs. John James vs. Mike Duggan 2026 United
2026 Michigan gubernatorial election
2026_Michigan_gubernatorial_election
Chronology of events following the 2011 Fukushima nuclear disaster
Archived from the original on 24 December 2018. {{cite news}}: Cite uses generic title (help) "Earthquake report No. 276" (PDF). JAIF. 29 November 2011
Timeline of the Fukushima nuclear accident
Timeline_of_the_Fukushima_nuclear_accident
Renaissance art in Florence
phenomena led Fra Angelico in his mature phase to abandon indistinct, generic illumination in favour of a careful, rational rendering of light and shade
Florentine_Renaissance_art
Brazilian ethnic group
"sertão", meaning hinterland. During colonial times, sertão was used as a generic term to refer to all territories in the Americas that were not in the coast
Sertanejo_people
defensive walls, castles, bunkers and fortified gateways. Petrary is the generic term for medieval stone throwing siege engines. "The Battering Ram - lordsandladies"
List_of_siege_engines
Australian sportsman (1835–1880)
its own name. "Marngrook", from the Gunditjmara language, is used as a generic term for Aboriginal football. de Moore 2005a, p. 371. de Moore 2011, p
Tom_Wills
2025 Indian film by A. R. Murugadoss
should demand more". Baradwaj Rangan of Galatta Plus, wrote "Sikandar is so generic that you feel they could have made the same film even without this premise
Sikandar_(2025_film)
American actress and producer (born 1977)
it was picked up by Universal Pictures. Critics dismissed the film as generic and unremarkable, and it failed commercially. Chastain then took on a brief
Jessica_Chastain
Homotopy sphere Lens space Spherical 3-manifold Einstein manifold Ricci-flat manifold G2 manifold Kähler manifold Calabi–Yau manifold Hyperkähler manifold
List_of_manifolds
Form of recreational fishing
Duluth News Tribune. Retrieved 2021-02-17. {{cite web}}: |first= has generic name (help)CS1 maint: numeric names: authors list (link) "Sons of Santiago"
Flats_fishing
Family of beetles
represented on all continents except Antarctica, and is most diverse at both the generic and species levels in the Old World tropics. Silvanids generally are small
Silvanidae
South African hip hop duo
objected. Visser also stated that Interscope "kept pushing us to be more generic" in order to make more money. Die Antwoord formed their own independent
Die_Antwoord
Belgian television soap opera series
when characters were being admitted. For a long time, the location was a generic set without a specific name, and there were frequent changes between different
Thuis
Type of electric guitar
and it was officially called the SG Junior. From 1966 to 1971, it had a generic SG pickguard with a soapbar P90 rather than the original dog-ear. It was
Gibson_SG_Junior
names with a prefix (generic element) followed by a specific element; road names with a specific element followed by a suffix (generic element); road names
Road_names_in_Singapore
American actor and producer (born 1937)
which critic John Cornelius suggests was unsurprising, considering the generic formula of the thriller. Freeman next appeared in Lucky Number Slevin (2006)
Morgan_Freeman
Data interface description language
ITU-T X.697 - JavaScript Object Notation Encoding Rules (JER) RFC 3641 - Generic String Encoding Rules (GSER) Karg, S (2012). "Understanding BACnet MS/TP
ASN.1
Internet top-level domain for software developers
domain name operated by Google Registry. It was proposed in ICANN's new generic top-level domain (gTLD) program, and became available to the general public
.dev
2012 American film by Andrew Stanton
at Giant Freakin Robot, agreed in 2023, calling John Carter "the most generic title possible ... Don't tell me that [A Princess of Mars] wouldn't have
John_Carter_(film)
Economic policy debate
erroneous payments, negotiating for lower prescription drug prices and use of generics, improving efficiencies in the Medicaid program, altering doctor incentives
Deficit reduction in the United States
Deficit_reduction_in_the_United_States
Region in Texas, United States of America
swamps, and prairies, which are all still visible in undeveloped areas. Flatness of the local terrain and proximity to the Bay and the Gulf have made flooding
Galveston_Bay_Area
American comedian
Be Profound". Vulture. Retrieved 2023-07-29. {{cite web}}: |last= has generic name (help) "This Fool - Rotten Tomatoes". www.rottentomatoes.com. Retrieved
Chris_Estrada_(comedian)
2010 film by M. Night Shyamalan
all the personality and soul out of it – in order to create something generic enough to serve as a universal spoof of every epic, ever." Anders summarized
The_Last_Airbender_(film)
This article lists a number of common generic Chinese toponyms, their meanings, and some examples of their use. "Translate "白" from Chinese into English"
List of generic Chinese toponyms
List_of_generic_Chinese_toponyms
1961 mobilization campaign in Brazil
resignation, while addressing the "military solution" to the succession in a generic way, but making clear its "unalterable position on the side of constitutional
Legality_Campaign
Small wild cat
described a skin of a flat-headed cat specimen collected in Sumatra. Prionailurus was proposed by Nikolai Severtzov in 1858 as generic name for spotted wild
Flat-headed_cat
('small pasta') family. The name raviolo (plural ravioli) can be used as a generic description for almost any type of filled pasta. Food portal Lists portal
List_of_pasta
2025 film by Anthony and Joe Russo
the film's lack of capitalization on its source material, "in favor of a generic conceit centered on freedom, preachy commentary on prejudice and a reductive
The_Electric_State_(film)
American cartoon series and franchise
debut appearance, is a gray and white domestic shorthair cat. "Tom" is a generic name for a male cat. He is usually but not always portrayed as living a
Tom_and_Jerry
King of Strathclyde
Cumbria: An Analysis of the Generative Usage of the Cumbric Habitative Generics Cair and Tref (PhD thesis). University of Edinburgh. hdl:1842/7401. Holland
Máel Coluim, King of Strathclyde
Máel_Coluim,_King_of_Strathclyde
5, Episode 3) (2023) The High Fructose Adventures of Annoying Orange: "Generic Holiday Special" (Season 1, Episode 19) (2012) "Orange Carol" (Season 1
Lists_of_animated_specials
American full-size car
steering wheel rim got a soft-feel grip, and replaced the "Impala" badge with generic "Chevrolet". The inline six-cylinder engine was now offered on the Bel
Chevrolet_Impala
GENERIC FLATNESS
GENERIC FLATNESS
Girl/Female
American, Australian, Biblical, Chinese, Christian, Greek, Hawaiian, Hebrew
Beginning; Origin
Biblical
beginning
Girl/Female
Indian
Boy/Male
German, Teutonic
Estate Ruler; Rules an Estate
Boy/Male
Scottish Welsh
Royal chieftain. Surname.
Girl/Female
French German
Of the race of women.
Female
Welsh
Medieval Welsh name, probably GENERYS means "white lady."Â
Male
English
Middle English form of Anglo-Saxon Ceneric, CENRIC means "keen power."
Girl/Female
Hindu, Indian
Charming
Male
German
Old German name, GOMERIC means "man-power."
Female
English
(ΓÎνεσις) English name of Greek origin, derived from the word genesis, GENESIS means "creation, generation, origin, source," from gignesthai "to be born," which is related to genos "birth, descent, race." In the bible, this is the name of the first book of the Old Testament.
Male
German
Altered form of German Almeric, EMERIC means "work-power."
Male
Swedish
Swedish variant spelling of Scandinavian Henrik, HENRIC means "home-ruler."
Boy/Male
British, English
Royal
Girl/Female
Australian, French, German
Of the Race of Women; White Wave
Girl/Female
Biblical American Hebrew
Beginning.
Boy/Male
Australian, Hawaiian, Hebrew
Origin
Boy/Male
Teutonic
Rules an estate.
Biblical
Naamah can refer to a figure in , the wife of Solomon or a demon, beautiful; agreeable
Girl/Female
Shakespearean
Tragedy of King Lear' Daughter to King Lear.
GENERIC FLATNESS
GENERIC FLATNESS
Boy/Male
Indian, Punjabi, Sikh
Gem of God
Boy/Male
Australian, British, Danish, Dutch, English, Finnish, French, German, Netherlands, Swedish, Swiss, Teutonic
Protection; Will-helmet; Will; Desire; Bright
Boy/Male
British, English, Welsh
Red Haired; Chief; Lord
Boy/Male
African American English Latin American French Irish
The king.
Female
Celtic
, carnage.
Surname or Lastname
English
English : habitational name from the former county seat of the county of Buckinghamshire, Old English Buccingahamm ‘water meadow (Old English hamm) of the people of (-inga-) Bucc(a)’.
Girl/Female
Hindu, Indian
Goddess Parvati
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi, Tamil, Telugu
Pride; Bold; Strong
Boy/Male
Indian, Kannada, Tamil
Precious
Girl/Female
Biblical
In affliction.
GENERIC FLATNESS
GENERIC FLATNESS
GENERIC FLATNESS
GENERIC FLATNESS
GENERIC FLATNESS
a.
Comprehending many species or individuals; not special or particular; including all particulars; as, a general inference or conclusion.
a.
The roll of the drum which calls the troops together; as, to beat the general.
a.
Pertaining to, or derived from, the ivy (Hedera); as, hederic acid, an acid of the acetylene series.
n.
The second law officer in the government of Great Britain; also, a similar officer under the United States government, who is associated with the attorney-general; also, the chief law officer of some of the States.
pl.
of Postmaster-general
a.
Having a relation to all; common to the whole; as, Adam, our general sire.
a.
Usual; common, on most occasions; as, his general habit or method.
n.
Alt. of Gentrie
a.
Relating to a genus or kind; pertaining to a whole class or order; as, a general law of animal or vegetable economy.
a.
Alt. of Generical
a.
Common to many, or the greatest number; widely spread; prevalent; extensive, though not universal; as, a general opinion; a general custom.
a.
Not restrained or limited to a precise import; not specific; vague; indefinite; lax in signification; as, a loose and general expression.
a.
Pertaining to a genus or kind; relating to a genus, as distinct from a species, or from another genus; as, a generic description; a generic difference; a generic name.
n.
The chief officer of the post-office department of a government. In the United States the postmaster-general is a member of the cabinet.
n.
The quality of being generic.
a.
Same as Genetical.