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

Articles in Press

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 =_{S} C_{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