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Weak cotorsion modules with respect to an integer and a semidualizing bimodule | ||
| Journal of Algebra and Related Topics | ||
| دوره 13، شماره 1، مهر 2025، صفحه 117-134 اصل مقاله (206.21 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2024.26049.1604 | ||
| نویسندگان | ||
| M. Amini* ؛ A. Vahidi؛ E. Chamani | ||
| Department of Mathematics, University of Payame Noor, Tehran, Iran | ||
| چکیده | ||
| Let $R$ and $S$ be rings, $C= {}_SC_R$ a faithfully semidualizing bimodule, and $m$ a non-negative integer. In this paper, we present some homological properties relative to the class of $R$-modules of $C$-weak injective dimension at most $m$ and the class of $S$-modules of $C$-weak flat dimension at most $m$. We introduce and study weak cotorsion modules with respect to $m$ and $C$ by using the class of modules of $C$-weak flat dimension at most $m$. | ||
| کلیدواژه‌ها | ||
| $C$-$m$-weak cotorsion modules؛ $C$-weak flat dimensions؛ $C$-weak injective dimensions؛ Semidualizing bimodules | ||
| مراجع | ||
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