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

Xiaolei Zhang; Ning Bian; Refat Abdelmawla Khaled Assaad; Wei Qi

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

Commutative Algebra 2023-04-20 v1

Authors: Xiaolei Zhang , Ning Bian , Refat Abdelmawla Khaled Assaad , Wei Qi

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.

Keywords

commutative rings tau_q-weak global dimension homologies polynomial extensions amalgamations

Cite

@article{arxiv.2304.09323,
  title  = {On $\tau_q$-weak global dimensions of commuative rings},
  author = {Xiaolei Zhang and Ning Bian and Refat Abdelmawla Khaled Assaad and Wei Qi},
  journal= {arXiv preprint arXiv:2304.09323},
  year   = {2023}
}

Comments

arXiv admin note: text overlap with arXiv:2111.03417, arXiv:2302.04560

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

Abstract

Keywords

Cite

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