| 逆适当半群 |
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| 引用本文： | 付志青,郭小江,李珍真.逆适当半群[J].五邑大学学报(自然科学版),2012(1):11-14. |
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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： | [1]南昌大学抚州医学分院计算机教研室,江西抚州344000 [2]江西师范大学数学与信息科学学院,江西南昌330022 [3]景德镇高等专科学校数学与信息工程系,江西景德镇333000 |
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| 基金项目： | 基金项目：国家自然科学基金资助项目（No.10961014）;江西省自然科学基金资助项目（2008GZ048）;江西省教育斤科研资助项目（赣教科资[2007]134） |
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| 摘 要： | 通过刻画逆适当半群的一些性质,给出了一个富足半群是逆适当半群的充要条件是对于正则元a,b ∈S,a的预逆与b的预逆的积是ba的预逆.同时,给出了逆适当半群的自然偏序的性质.
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| 关 键 词： | 富足半群 逆适当半群 预逆 正则性保持元 |
Inverse Adequate Semigroups |
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| FU Zhi-qing,GUO Xiao-jiang,LI Zhen-zhen.Inverse Adequate Semigroups[J].Journal of Wuyi University(Natural Science Edition),2012(1):11-14. |
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| Authors: | FU Zhi-qing GUO Xiao-jiang LI Zhen-zhen |
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| Institution: | 1. Computer Section, Fuzhou Medical College, Nanchang University, Fuzhou 344000, China; College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, China; 3. Mathematics and Information Engineering Department, Jindezhen College, Jingdezhen 333000, China) |
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| Abstract: | Through describing some properties of inverse adequate semigroups, the paper gives the sufficient and necessary conditions for an abundant semigroup to be an inverse semigroup： a,b∈S for regular element and the product of pre inverse of a and the pre inverse of b being the pre inverse ofba. Also, the paper shows the natural partial order of inverse adequate semigroups. |
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| Keywords: | abundant semigroups inverse adequate semigroups inverse regular holding elemehts |
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