Auslander–Reiten conjecture of the tilting theorem
-
Published:2022-10-28
Issue:
Volume:
Page:
-
ISSN:0219-4988
-
Container-title:Journal of Algebra and Its Applications
-
language:en
-
Short-container-title:J. Algebra Appl.
Affiliation:
1. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.o. Box: 19395-5746, Tehran, Iran
Abstract
Let [Formula: see text] be a Noetherian algebra and [Formula: see text]-[Formula: see text] be an [Formula: see text]-tilting module with [Formula: see text]. Then [Formula: see text] satisfies Auslander–Reiten conjecture if and only if so does [Formula: see text]. As a consequence, we obtain that Auslander–Reiten conjecture is left and right symmetric for a certain Noetherian algebra.
Funder
Institute for Research in Fundamental Sciences
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献