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
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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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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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Structure and ideal theory of commutative semigroups [PDF]
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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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On Interval-valued Anti Fuzzy Prime bi-ideal of Semigroup
In this paper, we introduce the notions of interval-valued anti fuzzy prime (resp. strongly prime and semiprime) bi-ideals of semigroup. By using these ideas, we characterize those semigroup for which each interval anti-fuzzy bi-ideal is semiprime and ...
S. A. Wuhaib +2 more
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Small oscillations of an ideal liquid contained in a vessel closed by an elastic circular plate, in uniform rotation [PDF]
The problem of the small oscillations of an ideal liquid contained in a vessel in uniform rotation has been studied by Kopachevskii and Krein in the case of an entirely rigid vessel [3].
Essaouini Hilal +2 more
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Representation of right zero semigroups and their semilattices by a transformation semigroup
Background. As is known, an arbitrary semigroup can be represented by a semigroup of transformations that are right shifts either in this semigroup itself or in the extended semigroup obtained from the original one by adding an outer unit. The problems
L.V. Zyablitseva +2 more
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