Let $ T $ be a tilting module. In this paper, Gorenstein $\pi [T] $-projective modules are
introduced and some of their basic properties are studied. Moreover, some characterizations …

Let T be a tilting module. In this paper, Gorenstein Td n-injective and Gorenstein Td n-flat
modules are introduced. If G∈ CogenT (resp; G∈ GenT), then G is called Gorenstein Td n …

Let R be a ring. In this paper, Gorenstein (n, d)-flat and (n, d)-Gorenstein (n, d)-injective
modules and some of their basic properties are studied. Moreover, some characterizations …

arXiv:1906.01457v1 [math.AC] 3 Jun 2019 Page 1 arXiv:1906.01457v1 [math.AC] 3 Jun 2019
Tilting Modules Over Gorensetein Td n -Injective Gorensetein Td n -flat Modules ∗† M. Amini …

A ring R is called n-coherent if every (n− 1)-presented ideal of R is n-presented. In this
paper, the n-coherence of the perfect closure R∞ is investigated. We show that if R∞ is n …

In this paper, with respect to a tilting module T, the notions of T< sub> M< sup> n-coherence
and T< sub> M< sup> n-flatness are introduced, for every module M and every nonnegative …