On φ-u-<i>S</i>-flat modules and nonnil-u-<i>S</i>-injective modules-Reference-Cited by-同舟云学术

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

Published:2024-01-02 Issue:0 Volume:0 Page:
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Kim Hwankoo¹,Mahdou Najib²,Oubouhou El Houssaine²

Affiliation:

1. Division of Computer Engineering , Hoseo University , Cheonan , Republic of Korea

2. Department of Mathematics , Faculty of Science and Technology of Fez , University S. M. Ben Abdellah Fez , Box 2202 , Fez , Morocco

Abstract

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.

Funder

National Research Foundation of Korea

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2023-2117/pdf

Reference17 articles.

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5. N. Mahdou, E. H. Oubouhou and E. Yetkin Celikel, On nonnil-S-Noetherian and nonnil-u-S-Noetherian rings, An. Ştiinţ. Univ. “Ovidius” Constanţa Ser. Mat., to appear.