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Fuzzy complete inner-unitary subsemigroups and fuzzy group congruences on a regular semigroup

✍ Scribed by Zhang Chuanzhi

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
91 KB
Volume
112
Category
Article
ISSN
0165-0114

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✦ Synopsis

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 fuzzy group congruences on a regular semigroup.

πŸ“œ SIMILAR VOLUMES

Fuzzy congruences on a regular semigroup
Fuzzy congruences on a regular semigroup
✍ Yijia Tan πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 107 KB

In this paper, ΓΏrst, 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