\(k\)-Gorenstein modules.
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Publication:2385337
DOI10.1007/s10114-005-0891-zzbMath1127.16008arXivmath/0409177OpenAlexW2111887643MaRDI QIDQ2385337
Publication date: 12 October 2007
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0409177
Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Homological dimension in associative algebras (16E10)
Related Items
Simple modules over Auslander regular rings ⋮ The socle of the last term in a minimal injective resolution.
Cites Work
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- Extension closure of relative syzygy modules.
- Trivial extensions of Abelian categories. Homological algebra of trivial extensions of Abelian categories with applications to ring theory
- \(k\)-Gorenstein algebras and syzygy modules
- Selforthogonal modules with finite injective dimension. II
- \(\omega\)-\(k\)-torsionfree modules and \(\omega\)-left approximation dimension.
- On \(U\)-dominant dimension.
- Applications of contravariantly finite subcategories
- Tilting modules and Auslander's Gorenstein property.
- Rings of U-dominant dimension \(\geq 1\)
- Minimal injective resolutions of gorenstein rings
- Extension Closure of Relativek-Torsionfree Modules
- Duality over Auslander-Gorenstein rings.
- On a generalization of the auslander-bridger transpose
- Stable module theory
- Self-orthogonal modules over coherent rings
