Torsionfree dimension of modules and self-injective dimension of rings.

zbMath1244.16007arXiv0906.1253MaRDI QIDQ411702

Chonghui Huang, Zhao Yong Huang

Publication date: 30 April 2012

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.1253

zbMATH Keywords

finitely generated modulesGorenstein ringsright Noetherian ringsGorenstein dimensionself-injective dimensiontorsionfree dimension

Mathematics Subject Classification ID

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) Syzygies, resolutions, complexes in associative algebras (16E05) Homological dimension in associative algebras (16E10)

Related Items (6)

Homological dimensions relative to preresolving subcategories. II ⋮ Semidualizing bimodules and related Gorenstein homological dimensions ⋮ Classifications of exact structures and Cohen-Macaulay-finite algebras ⋮ The extension dimension of abelian categories ⋮ Homological dimensions of gentle algebras via geometric models ⋮ Left orthogonal classes of semidualizing bimodules

Cites Work

• \(\tau\)-categories. III: Auslander orders and Auslander-Reiten quivers.
• On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
• Reflexive modules and rings with self-injective dimension two
• On rings with finite self-injective dimension. II
• A note on the Nakayama conjectures
• Selforthogonal modules with finite injective dimension
• Auslander-type conditions and cotorsion pairs.
• Independence of the total reflexivity conditions for modules
• Injective dimension of semi-primary rings
• Algebras of Finite Self-Injective Dimension
• Extension closure ofk-torsionfree modules
• Approximation Presentations of Modules and Homological Conjectures
• Stable module theory
• On Finitely Generated Modules Over Noetherian Rings
• Self-orthogonal modules over coherent rings

This page was built for publication: Torsionfree dimension of modules and self-injective dimension of rings.