Fuzzy group congruences on an E-inversive semigroup
Lanlan Li, Zhenji Tian, Xinyan Li · International Mathematical Forum · 2014
Copyright c © 2014 Lanlan Li, Zhenji Tian and Xinyan Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. In this paper, we introduce the concepts of the fuzzy complete inner-unitary subsemigroups and the fuzzy group congruences on anE-inversive semigroup. Some of their properties are investigated. Finally, we show that there is a one-one correspondence between the fuzzy complete inner-unitary subsemigroups and the fuzzy group congruences on an E-inversive semigroup.