Strongly Gorenstein Flat Modules

Abstract

In this thesis, strongly Gorenstein flat modules will be investigated. Several well-known classes of rings are characterized in terms of strongly Gorenstein flat modules. Some examples are given to show that strongly Gorenstein flat modules over coherent rings lie strictly between projective modules and Gorenstein flat modules. The strongly Gorenstein flat dimension are also studied. There is a variety of results about strongly Gorenstein flat modules over coherent rings. The aim of this paper is to generalize some of these results, and to give homological descriptions of the strongly Gorenstein flat dimension (of modules and rings) over arbitrary associative rings.