Homological properties of modules with finite weak injective and weak flat dimensions

Abstract

In this paper, we define a class of relative derived functors in terms of left or right weak flat resolutions to compute the weak flat dimension of modules. Moreover, we investigate two classes of modules larger than that of weak injective and weak flat modules, study the existence of covers and preenvelopes, and give some applications.

Published online in the journal of Bulletin of the Malaysian Mathematical Sciences Society, 09 april 2016

References in corpus (1)

• The stable module category of a general ring

Cited by in corpus (2)

• Rings with finite n-Weak injective dimension and (n,k)-Weak cotorsion modules
• Category of n-weak injective and n-weak flat modules with respect to special super presented modules