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arXiv · 1412.8554

Gorenstein homological dimensions of modules over triangular matrix rings

Rongmin Zhu·Zhongkui Liu·Zhanping Wang
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Abstract

Let $A$ and $B$ be rings, $U$ a $(B, A)$-bimodule and $T=\left(\begin{smallmatrix} A & 0 \\ U & B \\\end{smallmatrix}\right)$ be 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 strongly Gorenstein projective or strongly Gorenstein injective module.

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Rongmin Zhu, Zhongkui Liu, Zhanping Wang. 2014-12-30. Gorenstein homological dimensions of modules over triangular matrix rings. https://arxiv.org/abs/1412.8554

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