[PDF][PDF] GORENSETEIN Td n-INJECTIVE AND GORENSETEIN Td n-FLAT MODULES WHEN T IS A TILTING MODULE

M Amini - Palestine Journal of Mathematics, 2021 - pjm.ppu.edu
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 …

Gorenstein star modules and Gorenstein tilting modules

P Zhang - Czechoslovak Mathematical Journal, 2021 - Springer
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 …

GORENSTEIN -PROJECTIVITY WITH RESPECT TO A TILTING MODULE

M Amini - International Electronic Journal of Algebra, 2020 - dergipark.org.tr
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 …

Gorenstein -injectivity on -coherent rings

F Shaveisi, M Amini, MH Bijanzadeh - Asian-European Journal of …, 2015 - World Scientific
Let T be a tilting module. In this paper, Gorenstein σ [T]-injective modules are introduced and
some of their basic properties are studied. Moreover, some characterizations of rings over …

[PDF][PDF] Generalized tilting modules and Frobenius extensions

D Fu, X Xu, Z Zhao - Electronic Research Archive, 2022 - aimspress.com
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 …

Stability of Gorenstein flat categories with respect to a semidualizing module

Z Di, Z Liu, J Chen - 2015 - projecteuclid.org
We first introduce in the paper the W_F-Gorenstein modules to establish the following Foxby
equivalence: \xymatrix@C=80ptG(F)∩A_C\ar@\lt0.5ex>r^C⊗_R-\amp\,\,\,\,G(W_F)\ar@\lt0 …

[HTML][HTML] Weak tilting modules

Y Yang, X Yan, X Zhu - Journal of Pure and Applied Algebra, 2020 - Elsevier
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 …

[PDF][PDF] Strict Mittag-Leffler Modules over Gorenstein Injective Modules

J Lei, X Yang - 2020 - pdf.hanspub.org
Strict Mittag-Leffler Modules over Gorenstein Injective Modules Gorenstein内射模上严格的
Mittag-Leffler模 Page 1 Pure Mathematics 理论数学, 2020, 10(8), 695-700 Published Online …

Foxby equivalences associated to strongly Gorenstein modules

W Zhang, Z Liu, X Yang - Kodai Mathematical Journal, 2018 - jstage.jst.go.jp
In order to establish the Foxby equivalences associated to strongly Gorenstein modules, we
introduce the notions of strongly WP-Gorenstein, WI-Gorenstein and WF-Gorenstein …

Gorenstein orthogonal classes and Gorenstein weak tilting modules

L Mao - Communications in Algebra, 2021 - Taylor & Francis
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 …