A homological characterization of Q₀-Prüfer v-multiplication rings

2021/11/03 by Xiaolei Zhang, Zhang, Xiaolei
Mathematics · #Rings, Modules, and Algebras #Commutative Algebra and Its Applications #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.2111.02407

Abstract

Let R be a commutative ring. An R-module M is called a semi-regular w-flat module if \Tor₁^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 Q₀-\PvMR s.

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