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Semigroups and Γ-Semigroups (en Inglés)
Manasi Mandal
(Autor)
·
Scholars' Press
· Tapa Blanda
Semigroups and Γ-Semigroups (en Inglés) - Mandal, Manasi
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Origen: Estados Unidos
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Reseña del libro "Semigroups and Γ-Semigroups (en Inglés)"
This book mainly focuses on some aspects of semigroups and Γ-semigroups related with different ideals as well as their various generalizations including fuzzyfication and intuitionistic fuzzyfication. The notions of characteristic ideals, fuzzy characteristic ideals, generalized bi-ideals, fuzzy generalized bi-ideals, intuitionistic fuzzy generalized bi-ideals, radicals of fuzzy ideals and fuzzy primary ideals of a Γ-semigroup have been introduced and studied. Various characterization theorems of Γ-semigroups have been obtained by using the notions of generalized bi-ideals and fuzzy generalized bi-ideals. The concepts of ideals, prime ideals, semiprime ideals in Γ-semigroups have been generalized in terms of Atanassov's intuitionistic fuzzy subsets. Also the notions of intuitionistic fuzzy ideal extension in a semigroup and a Γ-semigroup have been introduced and studied them directly and via operator semigroups of a Γ-semigroup. Various characterization theorems of semigroups have also been obtained in terms of intuitionistic fuzzy magnified translation and intuitionistic fuzzy points.
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