Duality and rational modules in Hopf algebras over commutative rings

DOI10.1006/jabr.2001.8722zbMath0980.16029arXivmath/0011207OpenAlexW2018630219MaRDI QIDQ5938605

José Gómez-Torrecillas, F. J. Lobillo, Jawad Y. Abuhlail

Publication date: 12 November 2001

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

Full work available at URL: https://arxiv.org/abs/math/0011207

zbMATH Keywords

dualitiesHopf algebrascomodulesrational modules

Mathematics Subject Classification ID

Related Items (13)

On coreflexive coalgebras and comodules over commutative rings. ⋮ Sheaf coalgebras and duality. ⋮ Coinduction functor and simple comodules. ⋮ Categories of modules, comodules and contramodules over representations ⋮ Blattner–Cohen–Montgomery's Duality Theorem for (Weak) Group Smash Products ⋮ HOPF PAIRINGS AND (CO)INDUCTION FUNCTORS OVER COMMUTATIVE RINGS ⋮ Duality theorems for crossed products over rings. ⋮ On the linear weak topology and dual pairings over rings. ⋮ Comodules and Corings ⋮ Rational Modules for Corings ⋮ Semicorings and Semicomodules ⋮ Hopf Semialgebras ⋮ Dual entwining structures and dual entwined modules.

Cites Work

• Coreflexive coalgebras
• A duality theorem for Hopf module algebras
• Dual coalgebras of algebras over commutative rings
• A duality theorem for hope module algebras over dedekind rings
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