On strongly $\phi$-$w$-Flat modules and Their Homological Dimensions

Wei Qi; Xiaolei Zhang; Wei Zhao

On strongly $\phi$-$w$-Flat modules and Their Homological Dimensions

Commutative Algebra 2023-02-21 v2

Authors: Wei Qi , Xiaolei Zhang , Wei Zhao

Abstract

In this paper, we introduce and study the notion of strongly $\phi$ - $w$ -flat modules. The $\phi$ - $w$ -weak global dimension $\phi$ - $w$ -w.gl.dim $(R)$ of an NP-ring $R$ is also introduced and studied. We characterize $\phi$ -\Prufer\ $v$ -multiplication strongly $\phi$ -rings in terms of strongly $\phi$ - $w$ -flat modules.

Keywords

module theory weak convergence

Cite

@article{arxiv.2302.00991,
  title  = {On strongly $\phi$-$w$-Flat modules and Their Homological Dimensions},
  author = {Wei Qi and Xiaolei Zhang and Wei Zhao},
  journal= {arXiv preprint arXiv:2302.00991},
  year   = {2023}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2107.12643, arXiv:2211.14681

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