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

T Zhao - Bulletin of the Malaysian Mathematical Sciences …, 2018 - Springer
T Zhao
Bulletin of the Malaysian Mathematical Sciences Society, 2018Springer
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 those of weak injective and weak flat modules, study the
existence of covers and preenvelopes, and give some applications.
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 those of weak injective and weak flat modules, study the existence of covers and preenvelopes, and give some applications.
Springer
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