| 逆半群的半格上的半格同余 |
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| 引用本文： | 陈兆英,陈文娟.逆半群的半格上的半格同余[J].济南大学学报(自然科学版),2012(3):304-306. |
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| 作者姓名： | 陈兆英 陈文娟 |
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| 作者单位： | 济南大学数学科学学院 |
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| 基金项目： | 国家自然科学基金(11126301);济南大学科技基金(XKY1027) |
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| 摘 要： | 讨论逆半群的半格的商半群,得到了逆半群的半格的商半群是各逆半群对应的商半群的半格的一个充要条件。利用一族含幺逆半群上的半格同余、SG-同余刻画了其半格上的相应同余。
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| 关 键 词： | 逆半群的半格 容许同余族 半格同余 SG-同余 逆半群的商半群 |
Semilattice Congruences on A Semilattice of Inverse Semigroup |
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| CHEN Zhao-ying,CHEN Wen-juan.Semilattice Congruences on A Semilattice of Inverse Semigroup[J].Journal of Jinan University(Science & Technology),2012(3):304-306. |
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| Authors: | CHEN Zhao-ying CHEN Wen-juan |
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| Institution: | (School of Mathematical Sciences,University of Jinan,Jinan 250022,China) |
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| Abstract: | We discuss quotient semigroups of inverse semigroups firstly,and obtain a necessary and sufficient condition that the quotient semigroup of inverse semigroups is a seilattice of corresponding quotient semigroup of every inverse semigroup,after that,we characterize the semilattice congruence and SG-congruence on a semilattice of inverse monoids by the semilattice congruence and SG-congruence on those inverse monoids. |
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| Keywords: | semilattice of inverse semigroup family of admissible congruence semilattice congruence SG-congruence quotient semigroup of inverse semigroup |
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