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 …

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 …

We introduce the notion of Gorenstein star modules and obtain some properties and a
characterization of them. We mainly give the relationship between n-Gorenstein star …

Let A/S be a ring extension with S commutative. We prove that ω⊗ S AA is a generalized
tilting module if ωS is a generalized tilting module. In this case, we obtain that⊥ ω-resol …

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 R be a Gorenstein ring. We first study Gorenstein orthogonal classes and Gorenstein
cotorsion pairs of R-modules. Then, we introduce the concept of Gorenstein weak tilting R …

We introduce the notion of ω-Gorenstein modules, where ω is a faithfully balanced self-
orthogonal module. This gives a common generalization of both Gorenstein projective …

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 …

Let A be an n-Gorenstein ring. Employing the theory developed by Enochs on the existence
of Gorenstein preenvelopes and precovers, we introduce the concept of Gorenstein tilting …

In this paper, weak tilting modules are introduced and investigated. We show that all tilting
modules are weak tilting modules, but the converse is not true. We prove that a module is …