- Fuzzy Ideals Extensions in Semigroups
- XIANG YUN XIE ;
- Kyungpook mathematical journal, volume 42, issue 1, 2002, Pages 39~39
Abstract
In this paper, we shall introduce the notions of fuzzy ideal extension property, strongly fuzzy extension property and fuzzy principal ideal extension property of a semigroup S. We also discuss the relations of these fuzzy ideal extension properties and some properties of semigroups with the fuzzy ideal extension property. Furthermore, we prove that a semigroup has the ideal extension property if and only if S has the strongly fuzzy ideal extension property. As an application of the results of this paper, we obtain characterization of cyclic semigroups.