|Table of Contents|

A Note on τ-Rigid Modules(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2018年02期
Page:
23-
Research Field:
·数学与计算机科学·
Publishing date:

Info

Title:
A Note on τ-Rigid Modules
Author(s):
Xie Zongzhen; Zhang Xiaojin
School of Mathematics and Statistics,Nanjing University of Information Science and Technology,Nanjing 210044,China
Keywords:
τ-rigid module; injective module; injective dimension; local algebra
PACS:
O154.2
DOI:
10.3969/j.issn.1001-4616.2018.02.005
Abstract:
For a basic indecomposable finite dimensional algebra Λ,if all τ-rigid Λ-modules are projective,then Λ is local. For any basic indecomposable finite dimensional algebra Γ,then the injective module DΓ is τ-rigid if and only if the injective dimension of Γ is at most one,where D is the usual duality.

References:

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Last Update: 2018-11-06