Affiliation:
1. Department of Mathematics, Yunnan Normal University, Kunming, Yunnan 650500, China
Abstract
The aim of this paper is to investigate the lattices of group fuzzy congruences and normal fuzzy subsemigroups onE-inversive semigroups. We prove that group fuzzy congruences and normal fuzzy subsemigroups determined each other inE-inversive semigroups. Moreover, we show that the set of groupt-fuzzy congruences and the set of normal subsemigroups with tiptin a givenE-inversive semigroup form two mutually isomorphic modular lattices for everyt∈0,1.
Funder
Nature Science Foundation of Yunnan Province
Subject
General Environmental Science,General Biochemistry, Genetics and Molecular Biology,General Medicine