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http://dx.doi.org/10.4134/BKMS.b210242

A HOMOLOGICAL CHARACTERIZATION OF PRÜFER v-MULTIPLICATION RINGS  

Zhang, Xiaolei (School of Mathematics and Statistics Shandong University of Technology)
Publication Information
Bulletin of the Korean Mathematical Society / v.59, no.1, 2022 , pp. 213-226 More about this Journal
Abstract
Let R be a ring and M an R-module. Then M is said to be regular w-flat provided that the natural homomorphism I ⊗R M → R ⊗R M is a w-monomorphism for any regular ideal I. We distinguish regular w-flat modules from regular flat modules and w-flat modules by idealization constructions. Then we give some characterizations of total quotient rings and Prüfer v-multiplication rings (PvMRs for short) utilizing the homological properties of regular w-flat modules.
Keywords
Regular w-flat module; regular w-weak global dimension; the total quotient ring; Prufer v-multiplication ring;
Citations & Related Records
Times Cited By KSCI : 5  (Citation Analysis)
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