Gorenstein injective and projective modules and actions of finite-dimensional Hopf algebras.

DOI10.1007/s11512-007-0053-xzbMath1159.16030OpenAlexW2087553982WikidataQ114222268 ScholiaQ114222268MaRDI QIDQ950722

Juan Antonio López-Ramos

Publication date: 27 October 2008

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11512-007-0053-x

zbMATH Keywords

precoverssmash productspreenvelopesGorenstein categoriesGorenstein injective modulesGorenstein dimensionsHopf extensions

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Homological dimension in associative algebras (16E10)

Related Items (4)

ON THE REPRESENTATIONS OF WEAK CROSSED PRODUCTS ⋮ Derived representation type and Gorenstein projective modules of an algebra under crossed product. ⋮ Hopf extensions of CM-finite Artin algebras ⋮ Gorenstein homological properties for Hopf--Galois extensions

Cites Work

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• Inductions and coinductions for Hopf extensions
• When does \(R\) Gorenstein imply \(R^ G\) Gorenstein?
• Preserving and reflecting covers by functors. Applications to graded modules
• Rings of quotients of endomorphism rings of projective modules
• Preserving of covers by hopf invariants
• Gorenstein categories and Tate cohomology on projective schemes

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