| 正则模与半单Artin环 |
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| 引用本文： | 熊蕙萍.正则模与半单Artin环[J].大学数学,1993(3). |
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| 作者姓名： | 熊蕙萍 |
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| 作者单位： | 南昌大学 |
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| 摘 要： | 本文用则模的术语给出了半单Artin 环的刻划。得到如下三个条件的等价性:(1)R 是一个半单Artin 环;(2)每一个R-模都是正则模;(3)每一个单纯R-模都是正则模。
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| 关 键 词： | 正则模 半单 Artin 环 |
Regular Madules And Semisimple Artinian Rings |
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| Xiong Huiping.Regular Madules And Semisimple Artinian Rings[J].College Mathematics,1993(3). |
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| Authors: | Xiong Huiping |
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| Abstract: | In this paper,We presented a characterization of semisimple artinian rings in terms of
regular modules and obtained equivalence of following conditions:
(1)R is a semisimple artinian ring.
(2)Every R—module is regular.
(3)Every simple R—module is regular. |
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| Keywords: | regular module Semisimple artinian ring |
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