| 夹心半群S(X,Y,θ)上的α-同余 |
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| 引用本文： | 裴惠生,翟红村,金勇.夹心半群S(X,Y,θ)上的α-同余[J].数学学报,2004,47(2):371-378. |
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| 作者姓名： | 裴惠生 翟红村 金勇 |
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| 作者单位： | 信阳师范学院,信阳,464000 |
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| 基金项目： | 河南省自然科学基金资助项目(994052900) |
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| 摘 要： | 本文讨论了夹心半群T(X,Y,θ)上的α-同余与集合Y上Tθ-等价关系之间的联系,证明了对于每个Tθ-等价关系E,夹心半群同余格C(T(X,Y,θ))的完全子格γ-1(E)中的最大元是一个α-同余,并判明Symons同余l,d都是α-同余.对于某些拓扑空间X,Y,确定了夹心半群S(X,Y,θ)上的最小(最大)真α-同余.
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| 关 键 词： | 夹心半群 σ-同余 T~θ-等价关系 |
| 文章编号： | 0583-1431(2004)02-0371-08 |
α-Congruences on the Sandwich Semigroups S(X,Y,θ) |
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| Hui Sheng PEI Hong Gun ZHAI Yong JIN.α-Congruences on the Sandwich Semigroups S(X,Y,θ)[J].Acta Mathematica Sinica,2004,47(2):371-378. |
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| Authors: | Hui Sheng PEI Hong Gun ZHAI Yong JIN |
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| Institution: | Hui Sheng PEI Hong Gun ZHAI Yong JIN (Xinyang Teacher's College, Xinyang 464000, P. R. China) |
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| Abstract: | The relationship between the a-congruences on T(X, Y, θ) and the Tθ -equivalences on the set Y is investigated. It is proved that for each Tθ- equivalence E on Y, the greatest element in the complete sublattice γ-1(E) of C(T(X, Y, θ)) is an α-congruence. And it is verified that the Symons' congruences Z, d are two a-congruences for any sandwich semigroup. The smallest (greatest) α-congruences on S(X, Y, θ) are determined for some topological spaces X, Y. |
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| Keywords: | Sandwich semigroups α-congruences T~θ -equivalences |
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