| RP—环 |
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| 引用本文： | 左连翠.RP—环[J].数学季刊,2000,15(1):18-23. |
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| 作者姓名： | 左连翠 |
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| 作者单位： | 济南大学数学系!山东 济南 250002 |
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| 摘 要： | 本文定义了ＲＰ－环，讨论了它的性质和等价条件，得出了Ｓ＝Ｍｎ（Ｒ）是ＲＰ－环妥且仅当Ｒ是ＲＰ－环；Ｒｉ是ＲＰ－环当且仅当每个Ｒｉ是ＲＰ－环．最后讨论了ＲＰ－环的同态象和左投射维数．
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| 关 键 词： | R－投射模 左投射维数 RP－环 同态象 |
RP-Ring |
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| ZUO Lian-cui.RP-Ring[J].Chinese Quarterly Journal of Mathematics,2000,15(1):18-23. |
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| Authors: | ZUO Lian-cui |
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| Abstract: | In this paper, the RP-ring is defined, its characters and equivalent conditions are dis- cussed,it is obtained that S=M_n (R) is RP-ring iff R is ; is RP-ring iff every Riis. Fininally,the epimorphic image and the left Projective dimension of RP-ring is discussed. |
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| Keywords: | R-projective module left projective dimension RP-ring |
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