Results 101 to 110 of about 14,100 (198)

$\pi$-inverse ordered semigroups

Discussiones Mathematicae - General Algebra and Applications
Summary: This article deals with the generalization of \(\pi\)-inverse semigroups without order to ordered semigroups. Here we characterize \(\pi\)-inverse ordered semigroups by their ordered idempotents and bi-ideals.
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Left strongly archimedean ordered semigroups

Semigroup Forum, 2014
As we know, a semigroup (without order) is left strongly Archimedean if and only if it is a nil extension of a left strongly simple semigroup [\textit{M. S. Mitrović}, Semilattices of Archimedean semigroups. Niš: University of Niš, Faculty of Mechanical Engineering (2003; Zbl 1086.20033)]. It is interesting to know what is the matter in case of ordered
Kehayopulu, N., Tsingelis, M.
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m-Ordered semigroups

Discussiones Mathematicae - General Algebra and Applications
In this paper we define and study m-ordered semigroups. In particular, idempotents and subsemigroups of m-ordered semigroups are studied and is established a characterization of inverse semigroups that, under natural order, are m-ordered semigroups.
Carla Mendes, Paula Mendes Martins
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On dual ordered semigroups.

, 2014
This paper is actually the introduction and the main part of section 2 (: the first decomposition theorem) of the paper by \textit{Š. Schwarz} [Czech. Math. J. 10(85), 201-230 (1960; Zbl 0098.01602)] ([10] in the References of the paper). Some results in the introduction are stated without proof in the paper by Schwarz.
Changphas, T., Phaipong, N.
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Semigroup models for biochemical reaction networks. [PDF]

J Math Biol, 2023
Loutchko D.
europepmc   +1 more source

(λ,μ)-Fuzzy Version of Ideals, Interior Ideals, Quasi-Ideals, and Bi-Ideals

Journal of Applied Mathematics, 2012
We introduced (λ,μ)-fuzzy ideals, (λ,μ)-fuzzy interior ideals, (λ,μ)-fuzzy quasi-ideals, and (λ,μ)-fuzzy bi-ideals of an ordered semigroup and studied them. When λ=0 and μ=1, we meet the ordinary fuzzy ones.
Yuming Feng, P. Corsini
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An algebraic characterization of self-generating chemical reaction networks using semigroup models. [PDF]

J Math Biol, 2023
Loutchko D.
europepmc   +1 more source

On certain lattice—Ordered semigroups

Semigroup Forum, 1985
The aim of this paper is the introduction and the initial study of a lattice-ordered semigroup S which satisfies \(ab=(a\vee b)(a\wedge b)\) for all a,b\(\in S\). This axiom is of course a well-known theorem of the classical theory of divisibility over commutative and cancellative semigroups.
Ciobanu, G., Deaconescu, M.
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On Intra-regular Ordered Semigroups

Semigroup Forum, 1998
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, N, Tsingelis, M
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On Certain Proximities and Preorderings on the Transposition Hypergroups of Linear First-Order Partial Differential Operators

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
The contribution aims to create hypergroups of linear first-order partial differential operators with proximities, one of which creates a tolerance semigroup on the power set of the mentioned differential operators.
Chvalina Jan, Hošková-Mayerová Šárka   +1 more
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