Related Research On Gorenstein AC Cohomology Modulus

This paper mainly studies homological properties of Gorenstein AC homo-logical modules.Firstly,we introduce n-strongly Gorenstein AC homological modules and study their homological properties.Secondly,we give concepts of graded level modules and graded absolutely clean modules,discuss the grad-ed level and graded absolutely clean dimensions,and display some equivalent characterizations when two kinds of these dimensions are finite.Then we in-troduce the graded AC-Gorenstein ring,and over this class of rings.we prove that every graded module has a Gorenstein AC graded projective precover and a Gorenstein AC graded injective preenvelope in the category of graded modules.Finally,properties of strongly Gorenstein AC graded modules are investigated.