On φ-u-S-flat modules and nonnil-u-S-injective modules

IF 0.7 4区数学 Q2 MATHEMATICS

Georgian Mathematical Journal Pub Date : 2024-01-01 DOI:10.1515/gmj-2023-2117

Hwankoo Kim, Najib Mahdou, El Houssaine Oubouhou

引用次数: 0

Abstract

This paper introduces and studies the ϕ-u-S-flat (resp., nonnil-u-S-injective) modules, which are a generalization of both ϕ-flat modules and u-S-flat modules (resp., both nonnil-injective modules and u-S-injective modules). We give the Cartan–Eilenberg–Bass theorem for nonnil-u-S-Noetherian rings. Finally, we offer some new characterizations of the ϕ-von Neumann regular ring.

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关于φ-u-S平模块和非零-u-S注入模块

本文介绍并研究了ϕ-u-S-平（即非零-u-S-注入）模块，它是ϕ-平模块和u-S-平模块（即非零-注入模块和u-S-注入模块）的广义化。我们给出了非 nnil-u-S-Noetherian 环的 Cartan-Eilenberg-Bass 定理。最后，我们给出了 ϕ-von Neumann 正则环的一些新特征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Georgian Mathematical Journal 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Georgian Mathematical Journal was founded by the Georgian National Academy of Sciences and A. Razmadze Mathematical Institute, and is jointly produced with De Gruyter. The concern of this international journal is the publication of research articles of best scientific standard in pure and applied mathematics. Special emphasis is put on the presentation of results obtained by Georgian mathematicians.