On a coradical of a finite-dimensional Hopf algebra

DOI10.1090/S0002-9939-1975-0396652-0zbMath0324.16009OpenAlexW4239640410MaRDI QIDQ4087361

David E. Radford

Publication date: 1975

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2040355

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05) Coalgebras and comodules; corings (16T15)

Related Items (31)

Indecomposable decomposition of tensor products of modules over Drinfeld doubles of Taft algebras ⋮ Monomial Hopf algebras. ⋮ Quantum groups and deformations of preprojective algebras ⋮ Finite-dimensional Hopf algebras of rank one in characteristic zero. ⋮ Automorphism group of Green ring of Sweedler Hopf algebra ⋮ Tensor products of ideal codes over Hopf algebras ⋮ Almost involutive Hopf-Ore extensions of low dimension ⋮ Modular quantizations of Lie algebras of Cartan type \(K\) via Drinfeld twists of Jordanian type ⋮ Green rings of pointed rank one Hopf algebras of non-nilpotent type. ⋮ Classification of pointed rank one Hopf algebras. ⋮ Constructing pointed Hopf algebras by Ore extensions ⋮ Idempotents of the Green algebras of finite dimensionalpointed rank one Hopf algebras of nilpotent type ⋮ Green rings of pointed rank one Hopf algebras of nilpotent type. ⋮ Hopf actions of some quantum groups on path algebras ⋮ On the antipode of a quasitriangular Hopf algebra ⋮ Automorphism groups of pointed Hopf algebras. ⋮ On Hopf algebras of dimension \(4p\). ⋮ Green rings of weak Hopf algebras based on generalized Taft algebras ⋮ On Hopf algebras over quantum subgroups ⋮ Bilinear forms on the Green rings of finite dimensional Hopf algebras ⋮ Duals of pointed Hopf algebras ⋮ On Kaplansky's fifth conjecture ⋮ Lifting of quantum linear spaces and pointed Hopf algebras of order \(p^3\) ⋮ On Hopf algebras over the unique 12-dimensional Hopf algebra without the dual Chevalley property ⋮ Finite-dimensional Nichols algebras over dual Radford algebras ⋮ Finite-dimensional simple-pointed Hopf algebras ⋮ Classification of finite-dimensional Hopf algebras over dual Radford algebras ⋮ A survey of Hopf algebras of low dimension. ⋮ On the ideals of the Radford Hopf algebras ⋮ Bicrossed products of generalized Taft algebra and group algebras ⋮ Classification of ideals of $8$-dimensional Radford Hopf algebra

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