A homological characterization of Q0-Prüfer v-multiplication rings
X Zhang - International Electronic Journal of Algebra, 2022 - dergipark.org.tr
X Zhang
International Electronic Journal of Algebra, 2022•dergipark.org.trLet 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. 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.
\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. 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.
Let be a commutative ring. An -module is called a semi-regular -flat module if $\Tor_1^R(R/I,M)$ is $\GV$-torsion for any finitely generated semi-regular ideal . In this article, we show that the class of semi-regular -flat modules is a covering class. Moreover, we introduce the semi-regular -flat dimensions of -modules and the --weak global dimensions of the commutative ring . Utilizing these notions, we give some homological characterizations of $\WQ$-rings and -\PvMR s.
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