Syzygy modules for quasi \(k\)-Gorenstein rings.

DOI10.1016/j.jalgebra.2006.03.016zbMath1114.16012arXivmath/0409174OpenAlexW1969164134MaRDI QIDQ2497444

Zhao Yong Huang

Publication date: 4 August 2006

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

Full work available at URL: https://arxiv.org/abs/math/0409174

zbMATH Keywords

projective dimensionreflexive modulesapproximation theoremsyzygy modulesself-injective dimensionquasi \(k\)-Gorenstein ringsEvans-Griffith presentationsspherical filtrations

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Syzygies, resolutions, complexes in associative algebras (16E05) Homological dimension in associative algebras (16E10)

Related Items (7)

Homological behavior of Auslander's \(k\)-Gorenstein rings. ⋮ The Auslander-type condition of triangular matrix rings. ⋮ Stable categories of spherical modules and torsionfree modules ⋮ Tilting modules over Auslander-Gorenstein algebras ⋮ Two filtration results for modules with applications to the Auslander condition ⋮ Cograde conditions and cotorsion pairs ⋮ Minimal injective resolutions and Auslander-Gorenstein property for path algebras

Cites Work

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• Trivial extensions of Abelian categories. Homological algebra of trivial extensions of Abelian categories with applications to ring theory
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• Syzygy modules for Noetherian rings
• Modules with decompositions that complement direct summands
• On the ubiquity of Gorenstein rings
• Gorenstein dimension and torsion of modules over commutative noetherian rings
• SYZYGIES OF CRITICAL RANK
• On the Grade of Modules Over Noetherian Rings
• Stable module theory

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