Gorenstein homological dimensions of modules over triangular matrix rings

Authors : Rongmin Zhu, Zhongkui Liu, Zhanping Wang

Pages : 146-160

View : 15 | Download : 11

Publication Date : 9999-12-31

Article Type : Makaleler

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