RELATIVE COHERENCE OF RINGS-Reference-Cited by-同舟云学术

RELATIVE COHERENCE OF RINGS

Published:2012-05-24 Issue:03 Volume:11 Page:1250047
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

MAO LIXIN¹,DING NANQING²

Affiliation:

1. Institute of Mathematics, Nanjing Institute of Technology, Nanjing 211167, P. R. China

2. Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China

Abstract

Let R be a ring and τ a hereditary torsion theory for the category of all left R-modules. A right R-module M is called τ-flat if Tor 1(M, R/I) = 0 for any τ-finitely presented left ideal I. A left R-module N is said to be τ-f-injective in case Ext 1(R/I, N) = 0 for any τ-finitely presented left ideal I. R is called a left τ-coherent ring in case every τ-finitely presented left ideal is finitely presented. τ-coherent rings are characterized in terms of, among others, τ-flat and τ-f-injective modules. Some known results are extended.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498811005749

Reference27 articles.

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