| 正则半群上的同余 |
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| 引用本文： | 刘钢,张邹黄,曹春茂.正则半群上的同余[J].甘肃科学学报,2011,23(2):16-18. |
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| 作者姓名： | 刘钢 张邹黄 曹春茂 |
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| 作者单位： | 1. 江苏省如皋中学,江苏南通,226500
2. 如皋市薛窑中学,江苏南通,226500 |
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| 摘 要： | 设P是正则半群S的全子集,正则半群上的任意同余和P-部分核正规系之间存在一一对应关系.给出了由P-部分核正规系决定的同余一个新的刻画且证明了正则半群上的同余和P-部分同余对（K,ξ）之间存在一一对应关系.
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| 关 键 词： | 正则半群 同余 P-部分同余对 P-部分核正规系 |
Congruences on Regular Semigroups |
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| LIU Gang,ZHANG Zou-huang,CAO Chun-mao.Congruences on Regular Semigroups[J].Journal of Gansu Sciences,2011,23(2):16-18. |
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| Authors: | LIU Gang ZHANG Zou-huang CAO Chun-mao |
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| Institution: | 1(1.RuGao Middle School of Jiangsu Province,Nantong 226500,China; 2.Xueyao Middle School,Nantong 226500,China) |
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| Abstract: | Let P be an arbitrary full subset of the regular semigroup S.A construction of the unique congruence associated with such a P-partial kernel normal system has obtained.A new characterization of congruences determined by P-partial kernel normal system on regular semigroups is given here and it shows that each congruence on a regular semigroup is uniquely determined by its certain P-partial congruencepair(K,ξ). |
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| Keywords: | regular semigroup congruence P-partial congruence pair P-partial kernel normal system |
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