A homological characterization of Q0-Prüfer v-multiplication rings

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International Electronic Journal of Algebra
Volume:32 Issue:32
A homological characterization of Q0-Prüfer v-multiplication rings

A homological characterization of Q0-Prüfer v-multiplication rings

Pages : 228-240

View : 11 | Download : 7

Publication Date : 2022-07-16

Article Type : Research Paper

Abstract :Let $R$ be a commutative ring. An $R$-module $M$ is called a semi-regular $w$-flat module if $\Tor_1^Rinsert ignore into journalissuearticles values(R/I,M);$ 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. Moreover, we introduce the semi-regular $w$-flat dimensions of $R$-modules and the $sr$-$w$-weak global dimensions of the commutative ring $R$. Utilizing these notions, we give some homological characterizations of $\WQ$-rings and $Q_0$-\PvMR s.
Keywords : Semi regular w flat module, sr w weak global dimension, WQ ring, Q 0 PvMR

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