| 关于一类半群的消去律 |
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| 引用本文： | 马合成. 关于一类半群的消去律[J]. 山东科学, 2005, 18(2): 66-67,70 |
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| 作者姓名： | 马合成 |
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| 作者单位： | 山东师范大学理科学报编辑部,山东,济南,250014 |
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| 摘 要： | 如果一个半群的每个真双理想都是群，而它本身不是群，则称这个半群为I-半群，本文证明了任意一个I-半群不满足消去律，而且满足消去律的半群的所有真双理想不可能同时都是群。
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| 关 键 词： | I-半群 消去律 双理想 |
| 文章编号： | 1002-4026(2005)02-0066-03 |
The cancellation law about I-semigroups |
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| MA He-cheng. The cancellation law about I-semigroups[J]. Shandong Science, 2005, 18(2): 66-67,70 |
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| Authors: | MA He-cheng |
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| Abstract: | A semigroup is called an I-semigroup if it is not in itself a group but its every real-bi-ideal is group.This (paper) showed that an arbitrary I-semigroup is not satisfied with cancellation law and all real-bi-ideal of semigroup satisfied with cancellation law can not be I-semigroups at the same time. |
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| Keywords: | I-semigroup cancellation law dual-ideal |
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