TRANSFER PROPERTIES OF GORENSTEIN HOMOLOGICAL DIMENSION WITH RESPECT TO A SEMIDUALIZING MODULE

Title & Authors
TRANSFER PROPERTIES OF GORENSTEIN HOMOLOGICAL DIMENSION WITH RESPECT TO A SEMIDUALIZING MODULE
Di, Zhenxing; Yang, Xiaoyan;

Abstract
The classes of $\small{G_C}$ homological modules over commutative ring, where C is a semidualizing module, extend Holm and J$\small{{\varnothing}}$gensen's notions of C-Gorenstein homological modules to the non-Noetherian setting and generalize the classical classes of homological modules and the classes of Gorenstein homological modules within this setting. On the other hand, transfer of homological properties along ring homomorphisms is already a classical field of study. Motivated by the ideas mentioned above, in this article we will investigate the transfer properties of C and $\small{G_C}$ homological dimension.
Keywords
semidualizing module;ring homomorphism;C homological modules;$\small{G_C}$ homological modules;localization;
Language
English
Cited by
1.
BALANCE FOR RELATIVE HOMOLOGY WITH RESPECT TO SEMIDUALIZING MODULES,;;;

대한수학회보, 2015. vol.52. 1, pp.137-147
1.
BALANCE FOR RELATIVE HOMOLOGY WITH RESPECT TO SEMIDUALIZING MODULES, Bulletin of the Korean Mathematical Society, 2015, 52, 1, 137
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