Some Characterizations of Pr\"{u}fer $v$-Multiplication Rings |
Received:May 24, 2013 Revised:November 11, 2013 |
Key Words:
$w$-ideal integrally closed PVMR complete.
|
Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11171240; 10971090) and the Scientific Research Fund of Sichuan Provincial Education Department (Grant Nos.14ZB0035; 12ZB107). |
|
Hits: 2418 |
Download times: 2726 |
Abstract: |
In this paper, we study Pr\"{u}fer $v$-multiplication rings (PVMRs) and give some new characterizations of PVMRs. Moreover, we show that a Marot ring $R$ is a PVMR if and only if every $w$-ideal of $R$ is complete. |
Citation: |
DOI:10.3770/j.issn:2095-2651.2014.03.005 |
View Full Text View/Add Comment |