| PVMR的一些刻画 |
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| 引用本文： | 尹华玉.PVMR的一些刻画[J].数学研究及应用,2014,34(3):295-300. |
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| 作者姓名： | 尹华玉 |
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| 作者单位： | 四川师范大学数学与软件科学学院, 四川 成都 610068 |
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| 基金项目： | 国家自然科学基金(Grant Nos.11171240; 10971090),四川省教育厅科研基金(Grant Nos.14ZB0035; 12ZB107). |
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| 摘 要： | 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.
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| 关 键 词： | 乘法 理想 半交换环 W-理想 数学分析 环论 模糊数学 |
| 收稿时间： | 2013/5/24 0:00:00 |
| 修稿时间： | 2013/11/11 0:00:00 |
Some Characterizations of Pr\"{u}fer $v$-Multiplication Rings |
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| Huayu YIN.Some Characterizations of Pr\"{u}fer $v$-Multiplication Rings[J].Journal of Mathematical Research with Applications,2014,34(3):295-300. |
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| Authors: | Huayu YIN |
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| Institution: | College of Mathematics and Software Science, Sichuan Normal University, Sichuan 610068, P. R. China |
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| 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. |
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| Keywords: | $w$-ideal integrally closed PVMR complete |
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