Weak cotorsion modules with respect to an integer and a semidualizing bimodule

Document Type : Research Paper

Authors

1 Department, Fasculty, Payame Noor University, Tehran, Iran.

2 Department of Mathematics, Payame Noor University, Tehran, Iran

Abstract

‎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 $m$.

Keywords