| 全正则子半群构成链的正则半群(英文) |
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| 引用本文： | 郭小江,Young Bae Jun.全正则子半群构成链的正则半群(英文)[J].数学进展,2011(2). |
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| 作者姓名： | 郭小江 Young Bae Jun |
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| 作者单位： | 江西师范大学数学系;Gyeongsang国立大学数学教育系; |
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| 基金项目： | The research is supported by the NSFC(No.10961014); the NSF of Jiangxi Province; the SF of Education Department of Jiangxi Province and the SF of Jiangxi Normal University. |
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| 摘 要： | 本文考虑全正则子半群构成链的正则半群,得到了正则半群具有全正则子半群构成链的一个充分必要条件,这推广了Jones关于具有全正则子半群构成链的逆半群的结果.特别地,建立了具有全正则子半群构成链的完全0-单半群的结构.
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| 关 键 词： | 正则半群 全正则子半群 格 链 |
Regular Semigroups Whose Full Regular Subsemigroups Form a Chain |
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| GUO Xiaojiang,Young Bae Jun.Regular Semigroups Whose Full Regular Subsemigroups Form a Chain[J].Advances in Mathematics,2011(2). |
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| Authors: | GUO Xiaojiang Young Bae Jun |
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| Institution: | GUO Xiaojiang~(1,*),Young Bae Jun~2 (1.Department of Mathematics,Jiangxi Normal University,Nanchang,Jiangxi,330022,P.R. China,2.Department of Mathematics Education,Gyeongsang National University,Chinju 660-701,Korea) |
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| Abstract: | The main aim of this paper is to study regular semigroups whose full regular subsemigroups form a chain.We obtain a sufficient and necessary condition for a regular semigroup whose full regular subsemigroups form a chain.This extends the related result of Jones on inverse semigroups.In addition,the structure of completely 0-simple semigroups whose full regular subsemigroups form a chain is established. |
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| Keywords: | regular semigroup full regular subsemigroup lattice chain |
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