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http://dx.doi.org/10.4134/JKMS.2012.49.6.1197

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

Di, Zhenxing (Department of Mathematics Southeast University)
Yang, Xiaoyan (College of Mathematics and Information Science Northwest Normal University)
Publication Information
Journal of the Korean Mathematical Society / v.49, no.6, 2012 , pp. 1197-1214 More about this Journal
Abstract
The classes of $G_C$ homological modules over commutative ring, where C is a semidualizing module, extend Holm and J${\varnothing}$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 $G_C$ homological dimension.
Keywords
semidualizing module; ring homomorphism; C homological modules; $G_C$ homological modules; localization;
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