ON GORENSTEINNESS OF HOPF MODULE ALGEBRAS

DOI10.1017/S0017089516000185zbMath1381.16036MaRDI QIDQ2981903

Serge Skryabin

Publication date: 10 May 2017

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Hopf algebraArtin-Schelter Gorenstein ringH-module algebra

Mathematics Subject Classification ID

Ring-theoretic aspects of quantum groups (16T20) Hopf algebras and their applications (16T05)

Cites Work

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• Structure of \(H\)-semiprime Artinian algebras.
• Biinvertible actions of Hopf algebras
• Right Noetherian rings integral over their centers
• The Goldie theorem for \(H\)-semiprime algebras.
• Injectively homogeneous rings
• Acceptable rings and homomorphic images of Gorenstein rings
• Nagata's criterion and openness of loci for Gorenstein and complete intersection
• Homological properties of (graded) Noetherian PI rings
• Homological aspects of Noetherian PI Hopf algebras and irreducible modules of maximal dimension
• Hopf algebra orbits on the prime spectrum of a module algebra.
• Quasi-Frobenius-Erweiterungen. II
• Eine Dualität zwischen den Funktoren Ext und Tor
• Quasi-Frobenius-Erweiterungen
• Non-openness of loci in Noetherian rings
• On the ubiquity of Gorenstein rings
• Einige Bemerkungen über Frobenius-Erweiterungen
• On the Dimension of Modules and Algebras, II: (Frobenius Algebras and Quasi-Frobenius Rings)
• Rings of finite global dimension integral over their centres
• Noetherian PI Hopf algebras are Gorenstein
• Noetherian Hopf algebras
• Des catégories abéliennes
• Noncommutative Extensions of Hilbert Rings
• Homological identities for noncommutative rings

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