Generalized dual coalgebras of algebras, with applications to cofree coalgebras

DOI10.1016/0022-4049(85)90060-XzbMath0556.16005WikidataQ56224881 ScholiaQ56224881MaRDI QIDQ761527

Pierre Leroux, Richard F. Block

Publication date: 1985

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

zbMATH Keywords

tensor algebracoalgebra with counitcofree coalgebracofree cocommutative coalgebragraded linear mapsrepresentative maps

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Multilinear algebra, tensor calculus (15A69)

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Commutative Hopf algebras, Lie coalgebras, and divided powers, Unnamed Item, The mathematical life of Pierre Leroux, Generators for comonoids and universal constructions, A nonisomorphism theorem for cofree Lie coalgebras, Operations on triple cohomology, Deformations of shuffles and quasi-shuffles, Dual Lie Bialgebra Structures of Twisted Schrödinger-Virasoro Type, Partial corepresentations of Hopf algebras, Dual Lie bialgebra structures of Poisson types, Cofree coalgebras, Cofree coalgebras and multivariable recursiveness., The dual Friedrichs' theorem, Proper/residually-finite idempotent semirings., The cofree nonassociative coalgebra, On Sweedler's cofree cocommutative coalgebra., The formal Kuranishi parameterization via the universal homological perturbation theory solution of the deformation equation, The construction of cofree coalgebras, Dual Lie Elements and a Derivation for the Cofree Coassociative Coalgebra, Recognizable formal series on trees and cofree coalgebraic systems, Dual Lie bialgebra structures of \(W\)-algebra \(W(2, 2)\) type

Cites Work

• Invariant radical splittings: a Hopf approach
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