| 引用本文: | 张新建,唐善桂.强幂等元、强周期半群及π正则半群.[J].国防科技大学学报,2000,22(2):115-116.[点击复制] |
| ZHANG Xinjian,TANG Shangui.Strong Idempotents and Strong Periodic Semigroups and π Regular Semigroups[J].Journal of National University of Defense Technology,2000,22(2):115-116[点击复制] |
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| 强幂等元、强周期半群及π正则半群 |
| 张新建1, 唐善桂2 |
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(1.国防科技大学 理学院, 湖南 长沙 410073;2.边防广州指挥学校)
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| 摘要: |
| 由半群中幂等元的性质推断该半群的性质, 是半群代数理论中的一个基本问题。为此, 引入了强幂等元和强周期半群的概念, 通过对它们若干性质的讨论, 给出了正则半群的所有幂等元为强幂等元的充分必要条件, 建立了强周期半群与严格π正则半群的关系。 |
| 关键词: 强幂等元 强周期半群 严格π正则半群 |
| DOI： |
| 投稿日期：1999-08-25 |
| 基金项目: |
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| Strong Idempotents and Strong Periodic Semigroups and π Regular Semigroups |
| ZHANG Xinjian1, TANG Shangui2 |
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(1.College of Science, National Univ. of Defense Technology, Changsha 410073, China;2.Guang Zhou Frontier Guarding Command School)
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| Abstract: |
| Strong idempotents and strong periodic semigroup are studied, and the relations between the strong period semigroup and strict π regular semigroup are also obtained. |
| Keywords: strong ldempotent Strong Period semigroup Strict π Regular Semigroup |
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