On n-Weak Cotorsion Modules

Resumo

Let R be a ring and n a fixed non-negative integer. In this paper, n-weak cotorsion modules are introduced and studied. A right R-module N is called n-weak cotorsion module if \(Ext^1_R(F,N)=0\) for any right R-module F with weak flat dimension at most n. Also some characterizations of rings with finite super finitely presented dimensions are given.