Left Hopf algebras

DOI10.1016/0021-8693(80)90227-6zbMath0439.16008OpenAlexW1967283436MaRDI QIDQ1142270

James A. Green, Warren D. Nichols, Earl J. Taft

Publication date: 1980

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90227-6

zbMATH Keywords

coalgebrabialgebrafree left Hopf algebraleft antipodeleft Hopf algebra

Mathematics Subject Classification ID

Related Items

Minimal subcoideals and multiparameter deformation. ⋮ On quasi-bicrossed products of weak Hopf algebras. ⋮ On quantum general linear groups ⋮ A class of left quantum groups modeled after \(\text{SL}_q(n)\). ⋮ On Bialgebras Which are Simple Hopf Modules ⋮ A PARTIALLY DEFINED BRAIDING ON A NON-BRAIDED CATEGORY C ⋮ Weak Hopf algebras corresponding to quantum algebras \(U_q(f(K,H))\) ⋮ One-sided quantum quasigroups and loops. ⋮ Left counital Hopf algebras on bi-decorated planar rooted forests and Rota-Baxter systems ⋮ λ-TD algebras, generalized shuffle products and left counital Hopf algebras ⋮ Hopf braces and Yang-Baxter operators ⋮ Hopf modules, Frobenius functors and (one-sided) Hopf algebras ⋮ Hopf-Type Algebras ⋮ A left quantum group. ⋮ One-sided Hopf algebras and quantum quasigroups ⋮ Weak Hopf algebras and some new solutions of the quantum Yang-Baxter equation ⋮ Cayley theorems for Loday algebras ⋮ Antipodes, preantipodes and Frobenius functors ⋮ Weak Hopf algebras corresponding to Cartan matrices ⋮ On left Hopf algebras within the framework of inhomogeneous quantum groups for particle algebras

Cites Work

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• On antipodes in pointed Hopf algebras
• Free Hopf algebras generated by coalgebras
• The uniqueness of integrals for Hopf algebras and some existence theorems of integrals for commutative Hopf algebra
• Quotients of hopf algebras
• On Finitely Generated Flat Modules