A homological characterization of $Q_0$-Pr\"{u}fer $v$-multiplication rings

Xiaolei Zhang

A homological characterization of $Q_0$-Pr\"{u}fer $v$-multiplication rings

Commutative Algebra 2023-03-07 v4

Authors: Xiaolei Zhang

Abstract

Let $R$ be a commutative ring. An $R$ -module $M$ is called a semi-regular $w$ -flat module if $\Tor_1^R(R/I,M)$ is $\GV$ -torsion for any finitely generated semi-regular ideal $I$ . In this article, we show that the class of semi-regular $w$ -flat modules is a covering class. Utilizing these notions, we give some homological characterizations of $\WQ$ -rings and $Q_0$ -\PvMR s.

Keywords

commutative ring semi-regular w-flat module covering class wq-ring q0-prüfer v-multiplication ring homological characterization

Cite

@article{arxiv.2111.02407,
  title  = {A homological characterization of $Q_0$-Pr\"{u}fer $v$-multiplication rings},
  author = {Xiaolei Zhang},
  journal= {arXiv preprint arXiv:2111.02407},
  year   = {2023}
}

Comments

Deleted the homology dimensions. arXiv admin note: text overlap with arXiv:2111.02221

A homological characterization of $Q_0$-Pr\"{u}fer $v$-multiplication rings

Abstract

Keywords

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