TITLE

# Gorenstein transpose with respect to a semidualizing bimodule

AUTHOR(S)
Zengfeng LIU; Xiaoguang YAN
PUB. DATE
May 2013
SOURCE
Turkish Journal of Mathematics;May2013, Vol. 37 Issue 3, p404
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
Let S and R be rings and SCR be a semidualizing bimodule. We first give the definitions of C-transpose and n-C-torsionfree and give a criterion for a module A to be GC-projective by some property of the C-transpose of A. Then we introduce the notion of C-Gorenstein transpose of a module over two-sided Noetherian rings. We prove that a module M in mod Rop is a C-Gorenstein transpose of a module A âˆˆ mod S if and only if M can be embedded into a C -transpose of A with the cokernel GC-projective. Finally we investigate some homological properties of the C-Gorenstein transpose of a given module.
ACCESSION #
91514566

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