[PDF] Top 20 On Hoehnke Ideal in Ordered Semigroups
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On Hoehnke Ideal in Ordered Semigroups
... right ideal I of an ordered semigroup S prime if it is proper and for any right ideals A, B of S, AB ⊆ I implies A ⊆ I or B ⊆ I ...right ideal of S semiprime if it is proper and for any right ... See full document
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Ideals and Green's relations in ordered semigroups
... an ideal of S . Definition 2.4. An ordered semigroup S is called Ᏽ-trivial if the Green’s equivalence rela- tion Ᏽ on S is the equality relation on S , that is, if I ( a ) = I ( b ) implies a = b ... See full document
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Noetherian and Artinian ordered groupoids—semigroups
... of ideal theory in ordered groupoids (semigroups), it is necessary to study special classes of ordered groupoids ...Noetherian ordered groupoids (semigroups) which are about to ... See full document
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$(\lambda, \mu)$ Fuzzy Ideals in Ordered Ternary Semigroups
... ternary semigroups were also studied by some authors, for example, Sioson studied ideals in ternary semigroups ...ternary semigroups [2], Kar and Maity studied congruences of ternary ... See full document
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Fuzzy filters in ordered $\Gamma$-semirings
... and semigroups The fuzzy set theory was developed by ...an ordered semiring. studied fuzzy soft Γ−semiring and fuzzy soft k−ideal over ...fuzzy ideal and normal L − fuzzy ideal in ... See full document
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\((\lambda,\mu)\)-fuzzy interior ideals of ordered \(\Gamma\)-semigroups
... Proof. Suppose S is simple. Let f be a (λ, µ)-fuzzy interior ideal of S and a, b ∈ S. Since S is simple and b ∈ S, by the previous lemma, we have that S = (SΓbΓS]. Since a ∈ S, we have that a ∈ (SΓbΓS]. Then there ... See full document
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On Intra-regular Ordered Gamma-semigroups
... in semigroups, the relation N is a semilattice congruence on ...in ordered semigroups, the relation N is a complete semilattice congruence on M ...right) ideal A of T we have A = T , that is ... See full document
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Green’s Relations in Ordered Gamma-Semigroups in Terms of Fuzzy Subsets
... Fuzzy semigroups have been first considered by Kuroki [7], [8], [9], [10], and fuzzy ordered groupoids and ordered semigroups, by Kehayopulu and Tsingelis [4], ...of ordered groupoids ... See full document
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Innovative types of fuzzy gamma ideals in ordered gamma semigroups
... of ordered Γ−semigroup as a generalization of ordered semigroup in algebraic structures has rarely been ...in ordered Γ−semigroup is ...on ordered Γ−semigroups using fuzzy subsystems ... See full document
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Generalised interval-valued fuzzy ideals and filters in ordered semigroups
... left ideal, interval-valued fuzzy right ideal, interval-valued fuzzy generalised bi-ideal and interval-valued fuzzy bi-ideal and -implication based interval-valued fuzzy left and -implication ... See full document
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HESITANT FUZZY SETS APPROACH TO IDEAL THEORY IN TERNARY SEMIGROUPS
... fuzzy sets (briefly HFSs) as a new generalization of fuzzy set. Hesitant fuzzy set is used to control hesitant situation which were difficult to handle by previous extensions. Jun et. al. [2] applied the HFSs in ... See full document
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𝒩 Fuzzy Ideals in Ordered Semigroups
... Proof. i⇒ii Let a, b ∈ S and f an N-fuzzy bi-ideal of S. Then aSa is a bi-ideal of S. In fact, aSa 2 ⊆ aSaaSa ⊆ aSa, aSaSaSa aSaSaSa ⊆ aSa and if x ∈ aSa and S y ≤ x ∈ aSa, then y ∈ aSa aSa. Since aSa is a ... See full document
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Bi-ideals of ordered semigroups based on the interval-valued fuzzy point
... an ordered semigroup is a semigroup together with a partial order that is compatible with the semigroup ...operation. Ordered semigroups have many applications in the theory of sequential machines, ... See full document
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Ideal extensions of ordered sets
... The ideal extensions of semigroups—without order—have been first considered by Clifford ...the ideal extensions for ordered sets. If P , Q are disjoint ordered sets, we construct (all) ... See full document
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Fuzzy generalized bi–Γ–ideals of type (λ, θ) in ordered Γ–semigroups
... Untuk mempraktikkan idea Zadeh dalam set kabur, ramai penyelidik telah berusaha untuk mengenal pasti ciri-ciri utama set-set tersebut sebagai penemuan baru dalam matematik. Dalam perspektif ini, kami memperkenalkan satu ... See full document
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\(F\)–semigroups
... partially ordered set (X, ≤), a subset having a greatest element is not necessarily a principal order ideal, that is, of the form (a] = {x ∈ X |x ≤ ... See full document
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HESITANT FUZZY IDEAL EXTENSION IN PO-SEMIGROUPS
... fuzzy semigroups by Kuroki[8, ...to semigroups and hesitant fuzzy soft sets to subalgebras and ...fuzzy semigroups and hesitant fuzzy left (resp right ... See full document
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On the \(le\)-semigroups whose semigroup of bi-ideal elements is a normal band
... the ideal theory of commutative rings, it was observed by ...the ideal theory of semigroups ...lattice-ordered semigroups where an element represents an ideal of the ring or ... See full document
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(2,0)-Ideals in $\Gamma$-Semirings
... imply #ΓΓ#Γ# = #. Therefore #ΓΓ# = #ΓΓ#ΓΓ#Γ# ⊆ #ΓΓ#Γ# = #. This shows that # is a bi-ideal of . Let be a bi-ideal of such that ⊆ #. Then ΓΓΓ is a (1, 2)-ideal of . Now ΓΓΓ ⊆ #ΓΓ#Γ# = #. Thus we get ... See full document
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Vol 3, No 3 (2012)
... totally ordered semiring if the additive semigroup (𝑆𝑆, +) and multiplicative semigroup (𝑆𝑆, ⋅ ) are totally ordered semigroups under the same total order ...totally ordered semigroup (𝑆𝑆, ⋅ ) ... See full document
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