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.
