The construction of cofree coalgebras

DOI10.1016/0022-4049(93)90038-UzbMath0810.16038OpenAlexW2113081181WikidataQ126656626 ScholiaQ126656626MaRDI QIDQ1208226

Thomas F. Fox

Publication date: 16 May 1993

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(93)90038-u

zbMATH Keywords

free algebrasimplicial complexcohomology of coalgebrascategory of setsrecursive functiontensor algebraLie coalgebratriplecofree coalgebracotriplebialgebra cohomology groupsdouble complexformal bialgebrasfree coalgebras

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Cohomology of Lie (super)algebras (17B56) Homological dimension in associative algebras (16E10) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) Free nonassociative algebras (17A50)

Related Items (8)

A Koszul duality for props ⋮ Generators for comonoids and universal constructions ⋮ Braided antisymmetrizer as bialgebra homomorphism ⋮ Cofree coalgebras over operads ⋮ Cofree coalgebras and multivariable recursiveness. ⋮ Deformations et rigidite geometrique des algebres de leibniz ⋮ Formal plethories ⋮ An introduction to algebraic deformation theory

Cites Work

• Unnamed Item
• Unnamed Item
• Generalized dual coalgebras of algebras, with applications to cofree coalgebras
• Commutative Hopf algebras, Lie coalgebras, and divided powers
• The Hopf algebra of linearly recursive sequences
• Coalgebras over a commutative ring
• Cohomology of incidence coalgebras
• Families parametrized by coalgebras
• Terminal coalgebras in well-founded set theory
• Bialgebra cohomology, deformations, and quantum groups.
• Algebraic Deformations and Bicohomology
• The cofree nonassociative coalgebra
• The Cofree Irreducible Hopf Algebra on an Algebra
• Coalgebras and Bialgebras in Combinatorics
• Bicohomology Theory
• Coalgebras, Sheaves, and Cohomology

This page was built for publication: The construction of cofree coalgebras