| NIFP环 |
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| 引用本文： | 刘艳红,李男杰,魏俊潮.NIFP环[J].扬州大学学报(自然科学版),2012(1):13-15. |
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| 作者姓名： | 刘艳红 李男杰 魏俊潮 |
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| 作者单位： | 扬州大学数学科学学院 |
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| 基金项目： | 国家自然科学基金资助项目(11171291);江苏省高校自然科学基金资助项目(11KJB110019) |
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| 摘 要： | 给出NIFP环的定义,研究NIFP环的一些性质.主要证明了如下结果:①NIFP环是直接有限环;②NIFP环是左极小Abel环;③设R为NIFP环,若x∈R是exchange元,则x是clean元;④设R为NIFP环,x∈R,n∈Z+,若xn是clean元,则x也是clean元;⑤NIFP的左WGC2环是左GC2环.
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| 关 键 词： | NIFP环 左极小Abel环 clean元 exchange元 |
NIFP rings |
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| LIU Yan-hong,LI Nan-jie,WEI Jun-chao.NIFP rings[J].Journal of Yangzhou University(Natural Science Edition),2012(1):13-15. |
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| Authors: | LIU Yan-hong LI Nan-jie WEI Jun-chao |
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| Institution: | *(Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China) |
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| Abstract: | In this paper,the notion of NIFP rings is introduced and some properties of NIFP rings are studied.The following results are obtained: ① NIFP rings are directly finite;② NIFP rings are left min-Abel;③ Let R be a NIFP ring.If x∈R is exchange,then x is clean;④ Let R be a NIFP ring,x∈R and n∈Z+.If xn is clean,then x is clean;⑤ NIFP left WGC2 rings are left GC2. |
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| Keywords: | NIFP rings left min-Abel rings clean elements exchange elements |
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