| 自然偏序和局部拟适当半群(英文) |
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| 引用本文： | 付志青,郭小江,李珍真. 自然偏序和局部拟适当半群(英文)[J]. 江西师范大学学报(自然科学版), 2012, 0(4): 339-342 |
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| 作者姓名： | 付志青 郭小江 李珍真 |
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| 作者单位： | 南昌大学抚州医学分院, 江西 抚州, 344000；江西师范大学数学与信息科学学院,江西 南昌, 330022；景德镇高等专科学校, 江西 景德镇, 333000 |
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| 基金项目： | 国家自然科学基金(10961014);江西省自然科学基金(2014BAB201009);江西省教育厅科研计划(GJJ11388)资助项目 |
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| 摘 要： | 定义了富足半群上一个自然偏序 e≤,给出研究了自然偏序 e≤的性质,证明了:富足半群S是幂等元连通的局部拟适当半群当且仅当e=≤≤,丰富和推广了Lawson的局部半群的相关结果.
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| 关 键 词： | 自然偏序 适当半群 拟适当半群 富足半群 |
Naturally Partial Orders and Locally Quasi-Adequate Semigroups |
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| FU Zhi-qing,GUO Xiao-jiang,LI Zhen-zhen. Naturally Partial Orders and Locally Quasi-Adequate Semigroups[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2012, 0(4): 339-342 |
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| Authors: | FU Zhi-qing GUO Xiao-jiang LI Zhen-zhen |
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| Affiliation: | 2,3(1.Fuzhou Medical College of Nanchang University,Fuzhou Jiangxi 344000,China;2.College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China 3.Jingdezhen Comprehensive College,Jingdezhen Jiangxi 333000,China); |
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| Abstract: | The naturally partial order e ≤ on an abundant semigroup is defined.Some characterizations of e ≤ are obtained.In particular,it is proved that for an abundant semigroup S,S is an idempotent-connected locally quasi-adequate semigroup if and only if e ≤ =≤ on S.This enriches and extends the result of Lawson about locally orthodox semigroups. |
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| Keywords: | naturally partial order adequate semigroup quasi-adequate semigroup abundant semigroup |
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