Turkish Journal of Mathematics
DOI
10.3906/mat-1109-50
Abstract
Let S and R be rings and _SC_R 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 G_C-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 R^{op} is a C-Gorenstein transpose of a module A \in \mod S if and only if M can be embedded into a C-transpose of A with the cokernel G_C-projective. Finally we investigate some homological properties of the C-Gorenstein transpose of a given module.
Keywords
Semidualizing bimodule, G_C-projective, C-transpose, n-C-torsionfree, C-Gorenstein transpose
First Page
404
Last Page
417
Recommended Citation
LIU, ZENGFENG and YAN, XIAOGUANG
(2013)
"Gorenstein transpose with respect to a semidualizing bimodule,"
Turkish Journal of Mathematics: Vol. 37:
No.
3, Article 4.
https://doi.org/10.3906/mat-1109-50
Available at:
https://journals.tubitak.gov.tr/math/vol37/iss3/4
