Results 11 to 20 of about 244 (163)
Ideal theory in semigroups based on intersectional soft sets. [PDF]
The notions of int-soft semigroups and int-soft left (resp., right) ideals are introduced, and several properties are investigated. Using these notions and the notion of inclusive set, characterizations of subsemigroups and left (resp., right) ideals are considered. Using the notion of int-soft products, characterizations of int-soft semigroups and int-
Song SZ, Kim HS, Jun YB.
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Ideal theory in commutative semigroups
In this paper the authors consider commutative semigroups with 0 and 1, with particular emphasis on the similarities and differences between the ideal theory of semigroups and the ideal theory of commutative rings. It is pointed out that if a semigroup S satisfies the weak cancellative property \(ab=ac\neq 0\) implies \((b)=(c)\), then the principal ...
D D Anderson, E W Johnson, Anderson D D
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Noetherian and Artinian ordered groupoids—semigroups [PDF]
Chain conditions, finiteness conditions, growth conditions, and other forms of finiteness, Noetherian rings and Artinian rings have been systematically studied for commutative rings and algebras since 1959.
Niovi Kehayopulu, Michael Tsingelis
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Classification of Ordered Semigroups in Terms of Generalized Interval-Valued Fuzzy Interior Ideals
Several applied fields dealing with decision-making process may not be successfully modeled by ordinary fuzzy sets. In such a situation, the interval-valued fuzzy set theory is more applicable than the fuzzy set theory.
Khan Hidayat Ullah +3 more
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Characterizations of Right Weakly Regular Semigroups in Terms of Generalized Cubic Soft Sets
Cubic sets are the very useful generalization of fuzzy sets where one is allowed to extend the output through a subinterval of [ 0 , 1 ] and a number from [ 0 , 1 ] . Generalized cubic sets generalized the cubic sets with the help of cubic
Muhammad Gulistan +3 more
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IDEAL THEORY IN ORDERED SEMIGROUPS BASED ON HESITANT FUZZY SETS
Summary: The notions of hesitant fuzzy left (resp., right, bi-, quasi-) ideals are introduced, and several properties are investigated. Relations between a hesitant fuzzy left (resp., right) ideal, a hesitant fuzzy bi-ideal and a hesitant fuzzy quasi-ideal are discussed.
Sun Shin Ahn +2 more
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Structure and ideal theory of commutative semigroups [PDF]
M Satyanarayana, Satyanarayana M
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Rough Semigroups in Connection with Single Valued Neutrosophi c (∈, ∈)-Ideals [PDF]
The scheme of rough sets is an effective procedure that handle ambiguous, inexact or uncertain information configuration. Rough set theory for algebraic structures like semigroups is a formal approximation space consisting of a universal set and an ...
Young Bae Jun +2 more
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Classifiation of Ordered Semigroups Through Neutrosophic Generalized bi-ideals with Applications [PDF]
An icebreaking theory known as neutrosophic theory opened a new direction for researchers of philosophy, logics, set theory and probability/statistics. Neutrosophy put the point base for a entire household of new mathematical speculations that summarized
Faiz Muhammad Khan +2 more
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HESITANT FUZZY SETS APPROACH TO IDEAL THEORY IN TERNARY SEMIGROUPS [PDF]
A.F. Talee, M.Y. Abbasi, S.A. Khan
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