In this paper, we study Prufer wmultiplication 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.
基金Supported by the National Natural Science Foundation of China(Grant Nos.1117124010971090)+1 种基金the Scientific Research Fund of Sichuan Provincial Education Department(Grant Nos.14ZB003512ZB107)
文摘In this paper, we study Prufer wmultiplication 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.