| I半π正则环 |
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| 引用本文： | 廖芳芳,陈建龙.I半π正则环[J].东北数学,2007,23(1):51-62. |
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| 作者姓名： | 廖芳芳 陈建龙 |
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| 作者单位： | Department of Mathematics Southeast University，Nanjing，210096，Department of Mathematics，Southeast University，Nanjing，210096 |
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| 基金项目： | 国家自然科学基金
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国家自然科学基金
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教育部高等学校优秀青年教师教学科研奖励计划 |
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| 摘 要： | Let R be a ring and I an ideal of R.A ring R is called I-semi-π-regular if R/I isπ-regular and idempotents of R can be strongly lifted modulo I.Charac- terizations of I-semi-π-regular rings are given and relations between semi-π-regular rings and semiregular rings are explored.
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| 关 键 词： | I-semi-π-regular ring semi-π-regular ring semiregular ring I-semiresular ring strongly lifting |
| 文章编号： | 1000-1778(2007)01-0051-12 |
| 修稿时间： | 2005年12月7日 |
I-semi-π-regular Rings |
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| LIAO Fang-fang,CHEN Jian-long.I-semi-π-regular Rings[J].Northeastern Mathematical Journal,2007,23(1):51-62. |
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| Authors: | LIAO Fang-fang CHEN Jian-long |
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| Abstract: | Let R be a ring and I an ideal of R. A ring Ris called I-semi-π-regular if R/I is π-regular and idempotents of R can be strongly lifted modulo I. Characterizations of I-semi-π-regular rings are given and relations between semi-π-regular rings and semiregular rings are explored. |
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| Keywords: | I-semi-π-regular ring semi-π-regular ring semiregular ring I-semiregular ring strongly lifting |
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