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періодичних видань НАН України
періодичних видань НАН України
(λ, μ)-fuzzy interior ideals of ordered Г-semigroups
Репозиторій DSpace/Manakin
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(λ, μ)-fuzzy interior ideals of ordered Г-semigroups
Посилання:
(λ, μ)-fuzzy interior ideals of ordered Г-semigroups / Yu. Feng, P. Corsini // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 1. — С. 61–70. — Бібліогр.: 24 назв. — англ.
Підтримка:
This paper is finished during the first author’s visiting in Universita’ degli Studi di Udine. The first author wishes to give his hearted thanks to Mr. Zuddas, Mr. Sciarretta, Mr. Gessel and Mr. Li Lei for the kind help during his stay in Udine.
Дата:
2013
Переглядів:
731
Завантажень:
218
Анотація:
For all λ, μ ∈ [0, 1] such that λ < μ, we first introduced the definitions of (λ, μ)-fuzzy ideals and (λ, μ)-fuzzy interior ideals of an ordered Γ-semigroup. Then we proved that in regular and in intra-regular ordered semigroups the (λ, μ)-fuzzy ideals and the (λ, μ)-fuzzy interior ideals coincide. Lastly, we introduced the concept of a (λ, μ)-fuzzy simple ordered Γ-semigroup and characterized the simple ordered Γ-semigroups in terms of (λ, μ)-fuzzy interior ideals.
