Results 31 to 40 of about 14,642 (224)
On Intra-regular Ordered Semigroups [PDF]
Semigroup Forum, 1993 An ordered semigroup \(S\) is intra-regular if and only if it is a semilattice of simple semigroups, equivalently, if \(S\) is a union of simple subsemigroups of \(S\) [\textit{N. Kehayopulu}, Semigroup Forum 46, 271-278 (1993; Zbl 0776.06013)]. A \(poe\)-semigroup \(S\) is a semilattice of simple semigroups if and only if it is a semilattice of simple
Kehayopulu, Niovi, Tsingelis, Michael
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Ideals and Green's relations in ordered semigroups
International Journal of Mathematics and Mathematical Sciences, 2006 Exactly as in semigroups, Green's relations play an important role in the theory of ordered semigroups—especially for decompositions of such semigroups.
Niovi Kehayopulu
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On an equivalence between regular ordered Γ-semigroups and regular ordered semigroups
Open Mathematics, 2020 In this paper, we develop a technique which enables us to obtain several results from the theory of Γ-semigroups as logical implications of their semigroup theoretical analogues.
Çullhaj Fabiana, Krakulli Anjeza
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On the Semigroup of Bi-Ideals of an Ordered Semigroup
Kragujevac Journal of Mathematics, 2023 The purpose of this paper is to characterize an ordered semigroup S in terms of the properties of the associated semigroup B(S) of all bi-ideals of S. We show that an ordered semigroup S is a Clifford ordered semigroup if and only if B(S) is a semilattice.
S Mallick, K Hansda
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AIMS Mathematics, 2023 An element $ x $ in a semigroup is said to be regular if there exists an element $ y $ in the semigroup such that $ x = xyx $. The element $ y $ is said to be a regular part of $ x $.
Nuttawoot Nupo , Sayan Panma
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Identities in the Algebra of Partial Maps [PDF]
, 2006 We consider the identities of a variety of semigroup-related algebras modelling the algebra of partial maps. We show that the identities are intimately related to a weak semigroup deductive system and we show that the equational theory is decidable.
Jackson, Marcel, Stokes, Tim E.
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New approach towards different ideals using bipolar valued intuitionistic neutrosophic set of an ordered semigroups [PDF]
Neutrosophic Sets and SystemsThis paper introduces the notion of bipolar valued intuitionistic neutrosophic subsemigroup (BIntNS), bipolar valued intuitionistic neutrosophic left ideal (BIntNLI), bipolar valued intuitionistic neutrosophic right ideal (BIntNRI), bipolar valued ...
M.Palanikumar +2 more
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Some Characterizations for Approximate Biflatness of Semigroup Algebras
Journal of Mathematics, 2023 In this paper, we study an approximate biflatness of l1S, where S is a Clifford semigroup. Indeed, we show that a Clifford semigroup algebra l1S is approximately biflat if and only if every maximal subgroup of S is amenable, ES is locally finite, and l1S
N. Razi, A. Sahami
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The Mitsch order on a semigroup [PDF]
Semigroup Forum, 1994 For every semigroup \((S,.)\) the relation: \(a \leq b\) iff \(a = xb = by\), \(xa = a = ay\) (for some \(x, y, \in S^ 1\)) is a partial order; it can be described as the intersection of two other partial orders \(\leq_ r\) and \(\leq_ \ell\) on \(S\) defined in terms of the extended right- resp. left- regular representation of \(S\) [see: the reviewer,
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The number of semigroups of order 𝑛 [PDF]
Proceedings of the American Mathematical Society, 1976 The number of semigroups on n n elements is counted asymptotically for large n n . It is shown that “almost all” semigroups on n n elements have the following property: The n n elements are split into sets A , B A,B and there is an
Joel Spencer +2 more
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