Ordered semigroups
On Hoehnke Ideal in Ordered Semigroups
... For ordered semigroups I adopted the terminology due to Clifford; the authors in [2] the terminology by ...an ordered semigroup S the zero of S, denoted by 0, is an element of S such that 0x = x0 = 0 ...
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Fuzzy ideals in ordered semigroups and their generalisations
... of ordered semigroups are ...and ordered semigroups are clas- si…ed by the properties of ( 2 ; 2 _ q )-fuzzy interior ideals and ( 2 ; 2 _ q )-fuzzy left (right) ...
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Redefined intuitionistic fuzzy bi ideals of ordered semigroups
... 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, ...
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Bi-ideals of ordered semigroups based on the interval-valued fuzzy point
... in ordered semigroups is introduced as a more general form of an interval-valued ( , q ) -fuzzy bi- ...Further, ordered semigroups are characterised by the properties of this new type of ...
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Generalised interval-valued fuzzy ideals and filters in ordered semigroups
... in semigroups and ordered ...MV-algebra, semigroups and ordered semigroups by using interval-valued fuzzy ...that ordered semigroups and their classification by the ...
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𝒩 Fuzzy Ideals in Ordered Semigroups
... simple ordered semigroups and completely regular ordered semigroups in terms of N-fuzzy left ...regular ordered semigroup S is left simple if and only if every N-fuzzy left ideal f of S ...
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Ideals and Green's relations in ordered semigroups
... group S is Ᏽ-trivial if and only if the divisibility relation on S is an order on S. The di- visibility relation on S is a chain if and only if S is Ᏽ-trivial and the principal ideals of S form a chain under inclusion. ...
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Right derivations on ordered semigroups
... Definition 2.17. Let M be an ordered semigroup. A non-empty subset I of M is called a left (right) ideal of an ordered semigroup M if M I ⊆ I (IM ⊆ I) and if for any a ∈ M, b ∈ I, a ≤ b ⇒ a ∈ I. I is called ...
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A Study of Non-Associative Ordered Semigroups in Terms of Semilattices via Smallest (Double-Framed Soft) Ideals
... to ordered semigroups and defined prime and irreducible DF S ideals of an ordered semigroup over a universe set U ...an ordered semigroup by using different DF S ...
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Innovative types of fuzzy gamma ideals in ordered gamma semigroups
... on semigroups [29, 30] and fuzzy ordered semigroups ...the ordered Γ−semigroups as the generalization of ordered semigroup is required together with the idea of “belongs to” and ...
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Morita equivalence for partially ordered monoids and po-\(\Gamma\)-semigroups with unities
... partially ordered semigroups to po-Γ-semigroups with unities in [8] in the year ...partially ordered monoids or shortly pomonoids and obtained Morita I, Morita II and Morita ...
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\((\lambda,\mu)\)-fuzzy interior ideals of ordered \(\Gamma\)-semigroups
... intra-regular ordered semigroups the (λ, µ)-fuzzy ideals and the (λ, µ)-fuzzy interior ideals ...simple ordered Γ-semigroup and charac- terized the simple ordered Γ-semigroups in terms ...
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Green’s Relations in Ordered Gamma-Semigroups in Terms of Fuzzy Subsets
... of ordered right ideals, ordered left ideals, ordered ideals and the concept of fuzzy sets play an important role in studying the structure of ordered ...of ordered filters on ...
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\(F\)–semigroups
... In Section 2, examples of F –semigroups are given. The concept of residual – borrowed from the theory of partially ordered semigroups (see [1] or [2]) – is defined in Section 3. A characterization of ...
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On Intra-regular Ordered Gamma-semigroups
... Many results on Γ-semigroups (or po-Γ-semigroups) can be obtained from semigroups (ordered semigroups) just putting a “Gamma” in the appropriate place. But there are also results for ...
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Noetherian and Artinian ordered groupoids—semigroups
... in ordered groupoids (semigroups), it is necessary to study special classes of ordered groupoids ...Noetherian ordered groupoids (semigroups) which are about to be in- troduced are ...
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An Application of le-semigroup Techniques to Semigroups, Γ-semigroups and to Hypersemigroups
... for ordered semigroups, ordered Γ-semigroups or ordered hypersemigroups; however the main idea, even in these cases, comes from the le (∨e) or ...
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Naturally Ordered Abundant Semigroups for which each Idempotent has a Greatest Inverse
... regular semigroups are abundant ...the ordered abundant ...naturally ordered abundant ...naturally ordered abundant semi- groups for which each idempotent has a greatest ...naturally ...
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Ends of semigroups
... The graph defined in the previous example gives n ends for an alphabet of size n. Hence, locally finite connected graphs which are weakly transitive under the action of strong monomorphisms do not satisfy a 1, 2, ∞ ...
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Free semigroups in wreath powers of transformation semigroups
... monoid X ∗ with a basis X. Then X ∗ is naturally identified with the set ∪ ∞ i=0 X (i) , where X (0) = {Λ} and Λ is the identity of X ∗ , the empty word. Being an associative operation, the wreath product of ...
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