CO-IDEALS IN TERNARY SEMIGROUPS
نویسندگان
چکیده
منابع مشابه
Pure ideals in ternary semigroups
In this paper we introduce the notions of pure ideals, weakly pure ideals in ternary semigroups. We also de ne purely prime ideals of a ternary semigroup and study some properties of these ideals. The space of purely prime two-sided ideal is topologized.
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The concept of q , -fuzzy ternary subsemigroup (left, right, lateral, quasi-, bi-) ideal of a ternary semigroup is introduced and several related properties are investigated. We give some characterizations of regular and weakly regular ternary semigroups by q , -fuzzy left (right, lateral) ideals, q , -fuzzy quasi-ideals and q , -fuzzy bi-(generalized bi-) ideals.
متن کاملBi-Ideals in Ordered Ternary Semigroups
In this note, we show that an ordered ternary semigroup is left and right simple if and only if it does not contain proper bi-ideals. The similar result is valid on ordered semigroups [7], on ordered Γ-semigroups [3] and on ternary semigroups [4]. Mathematics Subject Classification: 06F05
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In this paper, we introduce the concept of (α, β)-fuzzy ideals in ternary semigroups, which is a generalization of fuzzy ideals in ternary semigroups. We investigate the related properties of ternary semigroups. The lower and upper parts of fuzzy subsets of a ternary semigroup are defined. Characterizations of regular ternary semigroups by the properties of the lower part of (∈,∈∨q)-fuzzy left ...
متن کاملBipolar (λ, δ)-Fuzzy Ideals in Ternary Semigroups
We introduce the concept of bipolar (λ, δ)-fuzzification of a ternary semigroup and discuss some structural properties of bipolar (λ, δ)-fuzzy ideals of a ternary semigroup. Mathematics Subject Classification: 20N10, 20M12, 03E72
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ژورنال
عنوان ژورنال: International Journal of Pure and Apllied Mathematics
سال: 2013
ISSN: 1311-8080,1314-3395
DOI: 10.12732/ijpam.v89i4.9