A note on the Auslander-Reiten conjecture.

DOI10.1007/S10114-013-1428-5zbMath1281.16014OpenAlexW2158991273WikidataQ122926990 ScholiaQ122926990MaRDI QIDQ381072

Dengming Xu

Publication date: 15 November 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-013-1428-5

zbMATH Keywords

projective modulesself-injective Artin algebrasAuslander-Reiten conjecturelocal Artin algebras

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of associative Artinian rings (16G10)

Related Items (2)

Singular equivalences and Auslander-Reiten conjecture ⋮ Auslander-Reiten conjecture and special biserial algebras

Cites Work

• On algebras with complete homology
• On algebras with radical cube zero
• Vanishing of Ext and Tor over some Cohen-Macaulay local rings
• Liftings and weak liftings of modules
• On a Generalized Version of the Nakayama Conjecture
• Finite Projective Dimension and the Vanishing of Ext_R(M,M)

This page was built for publication: A note on the Auslander-Reiten conjecture.