GAMMA SEMIGROUPS
On Gamma Acts over Gamma Semigroups
... Abstract. For a semigroup S, actions of S on non-empty sets, namely S-acts, are of interest to consider for their applications in many branches of science. The well known generalization of a semigroup is the Γ-semigroup. ...
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\((\lambda,\mu)\)-fuzzy interior ideals of ordered \(\Gamma\)-semigroups
... A b s t r ac t . For all λ, µ ∈ [0, 1] such that λ < µ, we first intro- duced the definitions of (λ, µ)-fuzzy ideals and (λ, µ)-fuzzy interior ideals of an ordered Γ-semigroup. Then we proved that in regular and in ...
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The relation B and Minimal Bi-ideals in Gamma-semigroups
... plain semigroups. Then we use our theorem for the relation B in Γ –semigroups to prove that any bi-ideal of a Γ –semigroup without zero is minimal if and only if it is a Γ ...plain semigroups which ...
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Atanassov’s Intuitionistic Fuzzy Generalized Bi-ideals of $\Gamma$-Semigroups
... Abstract. In this paper we introduce the concept of Atanassov’s intuitionistic fuzzy generalized bi-ideals of Γ -semigroups in order to extend the concept of Atanassov’s intuitionistic fuzzy bi-ideal of a Γ ...
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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], ...ordered semigroups and characterized ...
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Morita equivalence for partially ordered monoids and po-\(\Gamma\)-semigroups with unities
... If A and Γ be two non-empty sets then A is said to be a Γ-semigroup if there exist mappings A × Γ × A → A, denoted by (a, γ, b) 7→ aγb, and Γ × A × Γ → Γ, denoted by (α, a, β) 7→ αaβ, satisfying (aαb)βc = a(αbβ)c = ...
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Gamma-semigroups with Unities and Morita Equivalence for Monoids
... In this section we give some applications of the Theorem 6. By using our result and some well-known theories of Γ-semigroups we are able to deduce some properties of monoids which remain invariant under Morita ...
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On Intra-regular Ordered Gamma-semigroups
... such that (aαb)βc = aα(bβc) for all a, b, c ∈ S and all α, β ∈ Γ and remarks that most usual semigroup concepts, in particular regular and inverse semigroups, have their analogous for Γ-semigroups. Defining ...
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Innovative types of fuzzy gamma ideals in ordered gamma semigroups
... element. Semigroups play a very vital role in many areas of mathematics, for instance, mathematical analysis, coding and language theory, automata theory, and ...ordered semigroups) play an important role ...
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ANTI FUZZY SOFT GAMMA REGULAR SEMIGROUPS V. Chinnadurai* & K. Arulmozhi**
... the Gamma semigroup in ...in Gamma semigroups in ...regular Gamma semigroups through fuzzy ideals in ...in semigroups proposed by Shabir et al [13] anti fuzzy Gamma ...
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On \(0\)-semisimplicity of linear hulls of generators for semigroups generated by idempotents
... Tertychna, On infiniteness of type of infinite semigroups generated by idempotents with partial null multiplication , Trans.. Tertychna, On tame semigroups generated by idempotents with [r] ...
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Potentially right simple π-regular semigroups are right groups
... The notion “simplicity” may be generalized to “potential simplicity”. It is well-known that any right simple semigroup (a semigroup having only one right ideal) containing an idempotent, is a right group, i.e. it is ...
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Tensor Product Semigroups
... One parameter semigroups of operators have been a useful tool in the study of the so- called abstract Cauchy problem. Such a problem states as follows: Let A be a linear operator on a Banach space X , find a ...
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On Two-parameter Dynamical Systems and Applications
... The Hille-Yosida theorem in one-parameter case has a principal role in semigroup theory. We need the following lemmas to prove similar Hille-Yosida theorem for two-parameter case. In these lemmas we study the elementary ...
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Free semigroups in wreath powers of transformation semigroups
... transformation semigroups is not true in general as this inverse limit do not certainly contain such ...topological semigroups most finitely generated ...
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Idempotents, band and Green's relations on ternary semigroups
... Abstract. This paper is for one part a generalization of some results obtained by Miyuki Yamada [20] in the case of binary semigroups to ternary semigroups. We prove analogous of almost all the results ...
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On the semigroups of quasi-open transformations
... the semigroups Q (X ) and Q (Y ) are isomorphic there exists a quasi- open function a 0 ∈ Q(Y ) such that ϕa = a 0 ...the semigroups Q (X ) and Q (Y ) are isomorphic it follows from Lemma that (ϕa)Y 6= ...
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Ends of semigroups
... cancellative semigroups and that the cardinality of the set of ends is invariant in subsemi- groups and extension of finite Green index in left cancellative ...all semigroups with one end and make use of ...
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Semigroups of order decreasing transformations
... decreasing full partial one-to-one transformations and their Rees quotient semigroups in A however, type They the sense of semigroups abundant are, are not regular.. An explicit characte[r] ...
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Applications of Semigroups
... of semigroups in general and regular semigroups in ...of semigroups attracts many algebraists due to their applications to automata theory, formal languages, network analogy ...
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