| 纯正半群上的同余 |
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| 引用本文： | 李勇华.纯正半群上的同余[J].东北数学,2004,20(3):291-302. |
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| 作者姓名： | 李勇华 |
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| 作者单位： | Department of |
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| 基金项目： | The NNSF (19970128) of China and the NSF ((011438), (021073), (Z02017)) of Guangdong Province. |
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| 摘 要： | Let S be an orthodox semigroup and γ the least inverse congruence on S. C(S) denotes the set of all congruences on S. In this paper we introduce the concept of admissible triples for S, where admissible triples are constructed by the congruences on S/γ. the equivalences on E(S)/L and E(S)/R. The notation Ca(S) denotes the set of all admissible triple for S. We prove that every congruence p on S can be uniquely determined by the admissible triple induced by p, and there exists a lattice isomomorphism between C(S) and Ca(S).
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| 关 键 词： | 正则半群 同余式 三元组 纯正半群 |
Congruences on an Orthodox Semigroup |
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| LI Yong-hua.Congruences on an Orthodox Semigroup[J].Northeastern Mathematical Journal,2004,20(3):291-302. |
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| Authors: | LI Yong-hua |
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| Institution: | DepartmentofMathematics,SouthChinaNormalUniversity,Guangzhou,510631 |
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| Abstract: | |
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| Keywords: | Orthodox semigroup congruence admissible triple normal equivalence |
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