Injective homogeneity and the Auslander–Gorenstein property

DOI10.1017/S0017089500031098zbMath0830.16010WikidataQ114117429 ScholiaQ114117429MaRDI QIDQ4846739

Zhong Yi

Publication date: 28 January 1996

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

zbMATH Keywords

maximal idealscliquesNoetherian ringsfinitely generated right modulesAuslander-Gorenstein ringsupper gradestrongly group-graded ringsfinite injective dimensionNoetherian P.I. ringsinjective homogeneityMacaulay ringsinjective smoothness

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Homological dimension in associative algebras (16E10) Noetherian rings and modules (associative rings and algebras) (16P40) Identities other than those of matrices over commutative rings (16R40)

Related Items (8)

Azumaya loci and discriminant ideals of PI algebras ⋮ ALGEBRA PAIRS ASSOCIATED TO McKAY QUIVERS ⋮ Homological aspects of Noetherian PI Hopf algebras and irreducible modules of maximal dimension ⋮ Cocycle twists of algebras ⋮ Noncommutative deformations of Kleinian singularities ⋮ On symmetric, smooth and Calabi-Yau algebras. ⋮ Smooth polynomial identity algebras with almost factorial centers. ⋮ ON THE AZUMAYA LOCUS OF SOME CROSSED PRODUCTS^#

Cites Work

• Cohomology of bimodules over enveloping algebras
• Localisation at cliques in group rings
• Injectively homogeneous rings
• Group-graded rings and modules
• Fixed rings of finite automorphism groups of associative rings
• Homological dimension of skew group rings and crossed products
• Homological properties of (graded) Noetherian PI rings
• Injective dimension of semi-primary rings
• On the ubiquity of Gorenstein rings
• Prime ideals in finite extensions of Noetherian rings
• Homologically Homogeneous Rings
• Group-Graded Rings, Smash Products, and Group Actions
• Krull Versus Global Dimension in Noetherian P.I. Rings
• Strongly Graded Rings of Finite Groups
• Group-Graded Rings and Duality
• Localizations of injective modules
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