Lattice of fuzzy congruences on completely 0-simple semigroups

机译：完全0-简单半群上的模糊同余格

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摘要

The lattice of fuzzy congruences on a completely 0-simple semigroup is developed in the present paper. Firstly, the lattice structure of fuzzy congruences is introduced in an arbitrary semigroup. Furthermore, we prove that the lattice of fuzzy congruences on a completely 0-simple semigroup is semimodular.

机译：本文提出了一个完全为0的简单半群上的模糊同余格。首先，将模糊同余的格结构引入到任意半群中。此外，我们证明了完全为0的半群上的模糊同余格是半模的。

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《Second International Conference on Computational Intelligence and Natural Computing》|2010年|P.166-169|共4页
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作者
Jian Tang; Xiang-Yun Xie;
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中图分类人工智能理论;
关键词
completely 0-simple semigroup; fuzzy congruence; fuzzy equivalence relation; fuzzy linked triple; fuzzy proper congruence;

机译：完全0-简单半群;模糊同余;模糊等价关系;模糊链接三重;模糊适当同余;

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专利

1. Fuzzy Congruences on Completely 0-simple Semigroups [J] . Chuanzhi Zhang The Journal of fuzzy mathematics . 2002,第1期

机译：完全0-简单半群的模糊同余
2. Chains of congruences on a completely 0-simple semigroup [J] . G. B. Preston Journal of the Australian Mathematical Society . 2009,第1期

机译：完全为0的半群上的等价链
3. Representation of Finite Lattices by Annihilators of Completely 0-Simple Semigroups [J] . Roman R. Zapatrin Semigroup Forum . 1999,第1期

机译：完全零简单半群的An灭者对有限格的表示
4. Lattice of fuzzy congruences on completely 0-simple semigroups [C] . Jian Tang, Xiang-Yun Xie International Conference on Computational Intelligence and Natural Computing . 2010

机译：完全0简单的半群体的模糊同时的格子
5. Congruence lattices of lattices. [D] . Teo, Siong-Khow. 1991

机译：同余的点阵。
6. The Lattices of Group Fuzzy Congruences and Normal Fuzzy Subsemigroups on E-Inversive Semigroups [O] . Shoufeng Wang -1

机译：E-逆半群上的群模糊同余和正则模糊子半群的格
7. Extensions of completely $0$-simple semigroups by completely $0-simple$ $semigroups.$ [O] . R. J. Warne 1966

机译：完全$ 0 $ 0 -SIMPLE半群的扩展通过完全$ 0 - 简单$ $ MEMIGUPS。$

Lattice of fuzzy congruences on completely 0-simple semigroups

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