| 每个非奇异单左R-模均为GP-内射的环的正则性 |
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| 引用本文： | 宋贤梅.每个非奇异单左R-模均为GP-内射的环的正则性[J].东北数学,2005,21(1):39-44. |
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| 作者姓名： | 宋贤梅 |
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| 作者单位： | DepartmentofMathematics,SoutheastUniversity,Nanjing,210096／／DepartmentofMathematics,AnhuiNormalUniversity,Wuhu,241000 |
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| 基金项目： | 国家自然科学基金;江苏省自然科学基金 |
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| 摘 要： | In this paper, some new relations between GP-V′-rings and regular rings under certain special conditions have been found. It is proved that R is left self-injective regular with Soc(RR)≠0 if and only if R is a left GP-V′-ring containingan injective maximal left ideal and Soc(RR) 属于 Soc(RR). Moreover, for an MELTring R, it is shown that R is regular if and only if R is a left GP-injective left GP-V′-ring.
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| 关 键 词： | GP-V′-ring |
Regularity of Rings Whose Every Simple Singular Left R-module is GP-injective |
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| SONG Xian-mei.Regularity of Rings Whose Every Simple Singular Left R-module is GP-injective[J].Northeastern Mathematical Journal,2005,21(1):39-44. |
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| Authors: | SONG Xian-mei |
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| Abstract: | |
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| Keywords: | MELT ring GP-injective yon Neumann regular ring |
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