| MHR超幂零半单环的若干结果 |
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| 引用本文： | 陈神灿.MHR超幂零半单环的若干结果[J].松辽学刊,1990(3). |
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| 作者姓名： | 陈神灿 |
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| 作者单位： | 四平师范学院 研究生 |
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| 摘 要： | 本文把Artin-半单环的Wedderburn理论推广到MHR超幂零半单环上而获得一些结果
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| 关 键 词： | MHR环 超幂零根 |
SOME RESULS ON THE SUPERNILPOTENT SEMISIMPLE RINGS |
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| Chen Shencan.SOME RESULS ON THE SUPERNILPOTENT SEMISIMPLE RINGS[J].Songliao Journal (Natural Science Edition),1990(3). |
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| Authors: | Chen Shencan |
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| Institution: | Siping Teacher's College |
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| Abstract: | In this paper, we obtained the following main results:
Theorem 1 Let A be a MHR-semiprime ring, then I = eA for every nonzero principal right ideal I of A, where e is an idempotent in A.
Corollary 1 A MHR-semiprime ring is always a regular ring in the sense of Von Neumann.
Theorem 2 Let S be a supernilpotent radical, then a ring A is a MHR ring and S-semisimple ring if and only if A is the direct sum of MHR-simple rings. |
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| Keywords: | MHRring Supernilpotent radical |
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