In this paper, we introduce the concepts of the fuzzy complete inner-unitary subsemigroups and the fuzzy group congruences on a semigroup. Some of their properties are investigated. Also, we show that there is a one to one correspondence between the fuzzy complete inner-unitary subsemigroups and the
✦ LIBER ✦
Congruences and group congruences on a semigroup
✍ Scribed by Roman S. Gigoń
- Book ID
- 120760433
- Publisher
- Springer
- Year
- 2012
- Tongue
- English
- Weight
- 657 KB
- Volume
- 86
- Category
- Article
- ISSN
- 0037-1912
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In this paper, ÿrst, we prove that the set of all fuzzy congruences on a regular semigroup contained in H forms a modular lattice, where H is the characteristic function of H and H is the H -equivalent relation on the semigroup. Secondly, we introduce idempotent separating fuzzy congruence on a semi