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arXiv · 2304.09323

On $\tau_q$-weak global dimensions of commuative rings

Xiaolei Zhang·Ning Bian·Refat Abdelmawla Khaled Assaad·Wei Qi
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Abstract

In this paper, the $\tau_q$-weak global dimension $\tau_q$-\cwd$(R)$ of a commutative ring $R$ is introduced. Rings with $\tau_q$-weak global dimension equal to $0$ are studied in terms of homologies, direct products, polynomial extensions and amalgamations. Besides, we investigate the $\tau_q$-weak global dimensions of polynomial rings.

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Xiaolei Zhang, Ning Bian, Refat Abdelmawla Khaled Assaad, Wei Qi. 2023-04-18. On $\tau_q$-weak global dimensions of commuative rings. https://arxiv.org/abs/2304.09323

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