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2-category version of algebra
In algebra, given a 2-monad T in a 2-category, a pseudoalgebra for T is a 2-category-version of algebra for T, that satisfies the laws up to coherent
Pseudoalgebra
Standard that diagrams must satisfy up to isomorphism
fact equalities are weakened in coherent ways; e.g., pseudo-functor, pseudoalgebra. In some situations, isomorphisms need to be chosen in a coherent way
Coherency_(homotopy_theory)
Strict Monoidal Categories Shulman, Michael A. (2012). "Not every pseudoalgebra is equivalent to a strict one". Advances in Mathematics. 229 (3): 2024–2041
Strictification
Operation in algebra and mathematics
1016/S1571-0661(05)80241-5. ISSN 1571-0661. Shulman, Michael A. (2012). "Not every pseudoalgebra is equivalent to a strict one". Advances in Mathematics. 229 (3): 2024–2041
Monad_(category_theory)
Study of categorified structures
Grothendieck topology Topological dynamics Categorical dynamics Crossed module Pseudoalgebra 2-ring Lie n-algebra "Double Categories and Pseudo Algebras" (PDF).
Higher-dimensional_algebra
Generalization of monads
doi:10.70930/tac/axzkv912. Shulman, Michael A. (2012). "Not every pseudoalgebra is equivalent to a strict one". Advances in Mathematics. 229 (3): 2024–2041
Pseudomonad_(category_theory)
categorical structures to represent the up-to-isomorphism notions. pseudoalgebra A pseudoalgebra is a 2-category-version of an algebra for a monad (with a monad
Glossary_of_category_theory
Generalization of associativity properties
generalization of an operad. PRO (category theory) A∞-operad E∞-operad Pseudoalgebra Multicategory Opetope Pseudo-tensor category ”finiteness" refers to
Operad
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