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.
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
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