✦ LIBER ✦

Fuzzy multiplication semigroup

✍ Scribed by Pratyayananda Das

Book ID: 104292556
Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 414 KB
Volume: 105
Category: Article
ISSN: 0165-0114
DOI: 10.1016/s0165-0114(97)00228-5

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✦ Synopsis

The notion of fuzzy multiplication semigroup is introduced using fuzzy ideal. In a fuzzy multiplication semigroup with identity, (i) every fuzzy ideal with sup property whose radical is prime is primary and (ii) every primary fuzzy ideal with sup property is some power of its fuzzy radical. Conditions (i) and (ii) are also found to be sufficient for a commutative semigroup with identity and satisfying some other conditions to be a fuzzy multiplication semigroup. 4~,

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