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

‎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.

کلیدواژه ها:

C-m-weak cotorsion modules ، C-weak flat dimensions ، C-weak injective dimensions ، Semidualizing bimodules