| PC—环与几乎优越扩张 |
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| 引用本文： | 赵志新,刘仲奎.PC—环与几乎优越扩张[J].数学季刊,2001,16(3):42-48. |
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| 作者姓名： | 赵志新 刘仲奎 |
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| 作者单位： | [1]江苏石油化工学院信息与计算科学系，江苏常州213016 [2]西北师范大学数学系，甘肃兰州730070 |
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| 摘 要： | 本文我们讨论了这种环R的结构，R是凝聚环且R作为R－模是P－内射，我们称此环为PC－环，并证明了在几乎优越扩张下的不变性。
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| 关 键 词： | PC－环 几乎优越扩张 凝聚环 R－模 P－内射 |
PC-rings and Almost Excellent Extensions |
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| ZHAO Zhi-xin,LIU Zhong-kui.PC-rings and Almost Excellent Extensions[J].Chinese Quarterly Journal of Mathematics,2001,16(3):42-48. |
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| Authors: | ZHAO Zhi-xin LIU Zhong-kui |
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| Institution: | ZHAO Zhi-xin1,LIU Zhong-kui2 |
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| Abstract: | In this paper we consider that rings R are coherents and R is p-injective. We call such rings to be right PC -rings. The structure of these rings is examined and if S is PC-ring i f and only if R is PC-ring, where S is an almost excsllent extension of R. |
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| Keywords: | PC-rings almost excellent extensions |
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