Several Gorenstein Homological Modules Over Triangular Matrix Rings

In this paper,we mainly discuss several Gorenstein homology modules over triangular matrix rings of order n.Firstly,Ω is a left T-module classes,we discussed the relative module classes Ω over triangular matrix rings of order n of the Gorenstein modules.Secondly,we have left module categories constructs duality pairs and discusses the conditions under which a symmetric duality pairs and complete duality pairs over triangular matrix rings of n order,respectively.Finally,we study the Gorenstein homology modules relative to duality pairs over triangular matrix rings of order n.Some conclusion have been generalized in the article.