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Weak cotorsion modules with respect to an integer and a semidualizing bimodule | ||
Journal of Algebra and Related Topics | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 14 آذر 1403 | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22124/jart.2024.26049.1604 | ||
نویسندگان | ||
M. Amini* 1؛ A. Vahidi2؛ E. Chamani2 | ||
1Department, Fasculty, Payame Noor University, Tehran, Iran. | ||
2Department of Mathematics, Payame Noor University, 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 | ||
آمار تعداد مشاهده مقاله: 73 |