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http://dx.doi.org/10.4134/BKMS.b210754

A NOTE ON 𝜙-PRÜFER ν-MULTIPLICATION RINGS  

Zhang, Xiaolei (School of Mathematical Sciences Qufu Normal University and School of Mathematics and Statistics Shandong University of Technology)
Publication Information
Bulletin of the Korean Mathematical Society / v.59, no.5, 2022 , pp. 1289-1304 More about this Journal
Abstract
In this note, we show that a strongly 𝜙-ring R is a 𝜙-PvMR if and only if any 𝜙-torsion-free R-module is 𝜙-w-flat, if and only if any GV-torsion-free divisible R-module is nonnil-absolutely w-pure, if and only if any GV-torsion-free h-divisible R-module is nonnil-absolutely w-pure, if and only if any finitely generated nonnil ideal of R is w-projective.
Keywords
${\phi}$-PvMR; ${\phi}$-w-flat module; nonnil-absolutely w-pure module; w-projective module;
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Times Cited By KSCI : 5  (Citation Analysis)
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