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Weak u-s-projective modules and dimensions | ||
| Journal of Algebra and Related Topics | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 13 بهمن 1403 | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2024.24832.1545 | ||
| نویسندگان | ||
| R. A. Assaad* 1؛ X. Zhang2 | ||
| 1Department of Artificial Intelligence, Faculty of Computer Science & Information Technology, Al-Razi University, Sana'a, Yemen | ||
| 2School of Mathematics and Statistics, Shandong University of Technology, Zibo 255000, China | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| $u$-$S$-projective module؛ $u$-$S$-torsion؛ $u$-$S$-exact sequence؛ $u$-$S$-von Neumann regular ring؛ $u$-$S$-semihereditary | ||
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آمار تعداد مشاهده مقاله: 32 |
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