Homological identities for noncommutative rings

DOI10.1006/jabr.2001.8817zbMath0993.16006OpenAlexW2017853601MaRDI QIDQ5945123

Quan Shui Wu, James J. Zhang

Publication date: 16 June 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.8817

zbMATH Keywords

Hopf algebrasdualizing complexesinjective dimensionaffine PI Hopf algebrasGorenstein algebrashomological identitiesnoncommutative Noetherian rings

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Homological dimension in associative algebras (16E10) Noetherian rings and modules (associative rings and algebras) (16P40)

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Noetherian PI Hopf algebras are Gorenstein ⋮ Algebras without noetherian filtrations ⋮ Non-commutative Castelnuovo-Mumford regularity and AS-regular algebras. ⋮ Homological properties of quantized coordinate rings of semisimple groups ⋮ Homological integral of Hopf algebras ⋮ Ore localization and minimal injective resolutions. ⋮ Homological properties of noncommutative Iwasawa algebras ⋮ Homological Invariants for Connected DG Algebras ⋮ ON GORENSTEINNESS OF HOPF MODULE ALGEBRAS ⋮ Dualising complexes and twisted Hochschild (co)homology for Noetherian Hopf algebras. ⋮ A proof of the Brown-Goodearl conjecture for module-finite weak Hopf algebras ⋮ Hopf algebras with rigid dualizing complexes. ⋮ Cohen-Macaulay invariant subalgebras of Hopf dense Galois extensions ⋮ Pre-balanced dualizing complexes

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