On S-torsion exact sequences and Si-projective modules (i = 1,2)-Reference-Cited by-同舟云学术

On S-torsion exact sequences and Si-projective modules (i = 1,2)

Published:2022-01-12 Issue:04 Volume:22 Page:
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Zhao Wei¹²,Pu Yongyan²,Chen Mingzhao³,Xiao Xuelian²

Affiliation:

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

2. School of Mathematics, ABa Teachers University, Wenchuan, Sichuan 623002, P. R. China

3. College of Mathematics and Information Science, Leshan Normal University, Leshan 610068, P. R. China

Abstract

Let [Formula: see text] be a commutative ring and [Formula: see text] a given multiplicative closed subset of [Formula: see text]. In this paper, we introduce the new concept of [Formula: see text]-torsion exact sequences (respectively, [Formula: see text]-torsion commutative diagrams) as a generalization of exact sequences (respectively, commutative diagrams). As an application, they can be used to characterize two classes of modules that are generalizations of projective modules.

Funder

the National Natural Science Foundation of China

the China Postdoctoral Science Foundation

ABa teachers university

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021949882350086X

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