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E - 逆半群上的群模糊同余格与正规模糊子半群

The lattices of group fuzzy congruences and normal fuzzy subsemigroups on E-inversive semigroups.

作者信息

Wang Shoufeng

机构信息

Department of Mathematics, Yunnan Normal University, Kunming, Yunnan 650500, China.

出版信息

ScientificWorldJournal. 2014;2014:413564. doi: 10.1155/2014/413564. Epub 2014 May 5.

DOI:10.1155/2014/413564
PMID:24892045
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC4032726/
Abstract

The aim of this paper is to investigate the lattices of group fuzzy congruences and normal fuzzy subsemigroups on E-inversive semigroups. We prove that group fuzzy congruences and normal fuzzy subsemigroups determined each other in E-inversive semigroups. Moreover, we show that the set of group t-fuzzy congruences and the set of normal subsemigroups with tip t in a given E-inversive semigroup form two mutually isomorphic modular lattices for every t ∈ [0,1].

摘要

本文旨在研究E-逆半群上的群模糊同余格和正规模糊子半群。我们证明了在E-逆半群中，群模糊同余和正规模糊子半群相互确定。此外，我们表明，对于给定的E-逆半群，对于每个t∈[0,1]，群t-模糊同余集和具有尖端t的正规子半群集形成两个相互同构的模格。

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