A Characterization of Nonnil-Projective Modules

被引：1

作者：

Kim, Hwankoo ^{[1
]}

Mahdou, Najib ^{[2
]}

Oubouhou, El houssaine ^{[2
]}

机构：

[1] Hoseo Univ, Div Comp Engn, Asan 31499, South Korea

[2] Univ S M Ben Abdellah Fez, Fac Sci & Technol Fez, Dept Math, Box 2202, Fes, Morocco

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2024年 / 64卷 / 01期

关键词：

Nonnil-commutative diagram; Nonnil-exact sequence; Nonnilprojective module; FLAT MODULES; RINGS;

D O I：

10.5666/KMJ.2024.64.1.1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recently, Zhao, Wang, and Pu introduced and studied new concepts of nonnilcommutative diagrams and nonnil-projective modules. They proved that an R-module that is nonnil-isomorphic to a projective module is nonnil-projective, and they proposed the following problem: Is every nonnil-projective module nonnil-isomorphic to some projective module? In this paper, we delve into some new properties of nonnil-commutative diagrams and answer this problem in the affirmative.

引用

页码：1 / 14

页数：14

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