Turkish Journal of Mathematics
DOI
10.3906/mat-1504-67
Abstract
Let $A$ and $B$ be rings, $U$ a $(B, A)$-bimodule, and $T=\left(\begin{smallmatrix} A & 0 \\ U & B \\\end{smallmatrix}\right)$ the triangular matrix ring. In this paper, we characterize the Gorenstein homological dimensions of modules over $T$, and discuss when a left $T$-module is a strongly Gorenstein projective or strongly Gorenstein injective module.
Keywords
Triangular matrix ring, Gorenstein regular ring, Gorenstein homological dimension
First Page
146
Last Page
160
Recommended Citation
ZHU, RONGMIN; LIU, ZHONGKUI; and WANG, ZHANPING
(2016)
"Gorenstein homological dimensions of modules over triangular matrix rings,"
Turkish Journal of Mathematics: Vol. 40:
No.
1, Article 13.
https://doi.org/10.3906/mat-1504-67
Available at:
https://journals.tubitak.gov.tr/math/vol40/iss1/13
