Gorenstein projective, injective and flat modules

Z Liu, X Yang - Journal of the Australian Mathematical Society, 2009 - cambridge.org
In basic homological algebra, projective, injective and flat modules play an important and
fundamental role. In this paper, we discuss some properties of Gorenstein projective …

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 …

Duality pairs induced by Gorenstein projective modules with respect to semidualizing modules

J Hu, Y Geng, N Ding - Algebras and Representation Theory, 2015 - Springer
Let C be a semidualizing module over a commutative Noetherian ring R. We investigate
duality pairs induced by C-Gorenstein projective modules. It is proven that R is Artinian if …

Gorenstein homological dimensions of complexes with respect to a semidualizing module

C Zhang, L Wang, Z Liu - Communications in Algebra, 2014 - Taylor & Francis
In this article, we study finite Gorenstein homological dimensions of complexes with respect
to a semidualizing module. A special attention is paid to the dimensions of homologically …

SG_C-Projective, Injective and Flat modules

M Parimala, U Ramalingam - Journal of the Indonesian Mathematical …, 2019 - jims-a.org
SGC-PROJECTIVE, INJECTIVE AND FLAT MODULES M. Parimala and R. Udhayakumar
Page 1 J. Indones. Math. Soc. Vol. 25, No. 02 (2019), pp. 108–120. SGC-PROJECTIVE …

Covers and preenvelopes by V-Gorenstein flat modules

X Yang - Turkish Journal of Mathematics, 2014 - journals.tubitak.gov.tr
In this paper, we introduce and study V-Gorenstein flat modules and show the stability of the
category of V-Gorenstein flat modules. We investigate the existence of V-Gorenstein flat …

[引用][C] 关于G_C-平坦维数

张文汇, 李雪妍 - 西北师范大学学报: 自然科学版, 2016

[引用][C] Gorenstein Homological Dimensions and Aus-lander Categories with Respect to a Semidualizing Module

CX Zhang, LM Wang, ZK Liu - Journal of Mathematical Research with Applications, 2013