Weak u-s-projective modules and dimensions

Document Type : Research Paper

Authors

1 Department of Artificial Intelligence, Faculty of Computer Science & Information Technology, Al-Razi University, Sana'a, Yemen

2 School of Mathematics and Statistics, Shandong University of Technology, Zibo 255000, China

Abstract

The primary focus of this paper is to introduce and investigate a fresh category of projective modules, referred to as weak $u$-$S$-projective modules ($w$-$u$-w-u- is an abbreviation for weak uniformly). These novel modules are utilized for characterizing $u$-$S$-von Neumann regular rings. Additionally, the paper investigates a new type of rings, named $u$-$S$-semihereditary rings. This leads to the introduction of the weak $u$-$S$-projective dimensions of modules and weak $u$-$S$-global dimension of rings in this paper.

Keywords

References

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Journal of Algebra and Related Topics
Volume 13, Issue 1
July 2025
Pages 173-188

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