Results 21 to 30 of about 287 (185)

On Ideals in Partially Ordered Ternary Semigroups

open access: yesRatio Mathematica, 2023
The concept of ideals has been extensively studied through various algebraic structures such as near-rings, involution rings, regular rings, gamma-rings, semigroups, ordered semigroups, ternary semigroups and ordered ternary semigroups.
Dattatray Nabajirao Shinde   +1 more
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Erratum to: “Application of (m, n)- Γ -Hyperideals in Characterization of LA- Γ -Semihypergroups” by Abul Basar

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2020
This note is written to show that the definition of the LA- Γ -hypersemi-group and the definition of the ordered LA- Γ -hypersemigroup in [2] should be corrected and that it is not enough to replace the “Γ” of the ordered LA-Γ-semigroup by “◦ Γ ◦” to ...
Kehayopulu Niovi
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Right derivations on ordered semigroups [PDF]

open access: yesJournal of Hyperstructures, 2019
Over the last few decades, several authors have investigated the relationship between the commutativity of ring R and the existence of certain specified derivations of R.
M. Murali Krishna Rao
doaj   +1 more source

Ordered Semigroups [PDF]

open access: yesNagoya Mathematical Journal, 1960
1. Introduction. In this paper order will always mean linear or total order, and, unless otherwise stated, the composition of any semigroup will be denoted by +.
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Partial Orders on Transformation Semigroups [PDF]

open access: yesMonatshefte f�r Mathematik, 2003
Denote by \(P(X)\) the semigroup, under composition, of all partial transformations of the set \(X\). Denote by \(\text{dom\,}\alpha\) the domain of \(\alpha\in P(X)\) and denote its range by \(\text{ran\,}\alpha\). Define a partial order \(\leq\) on \(P(X)\) by \(\alpha\leq\beta\) if \(\alpha=\gamma\beta=\beta\mu\) and \(\alpha=\alpha\mu\) for some \(\
Smith, M. Paula Marques, Sullivan, R. P.
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Ordered inverse semigroups [PDF]

open access: yesTransactions of the American Mathematical Society, 1971
In this paper, we consider two questions: one is to characterize the structure of ordered inverse semigroups and the other is to give a condition in order that an inverse semigroup is orderable. The solution of the first question is carried out in terms of three types of mappings.
openaire   +1 more source

Ideals and Green's relations in ordered semigroups

open access: yesInternational 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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Partial orders in regular semigroups [PDF]

open access: yesProyecciones (Antofagasta), 2011
First we have obtained equivalent conditions for a regular semigroup and is equivalent to N = N1 It is observed that every regular semigroup is weakly separative and C ⊆ S and on a completely regular semigroup S ⊆  N and S is partial order . It is also obtained that a band (S, .) is normal iff C = N .
Srinivas, K. V. R, Anasuya, Y. L
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Some Characterizations for Approximate Biflatness of Semigroup Algebras

open access: yesJournal 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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ON DECOMPOSITIONS OF ORDERED SEMIGROUPS [PDF]

open access: yesInternational Journal of Pure and Apllied Mathematics, 2014
Summary: The purpose of this paper is to introduce and describe \(a\)-connected ordered semigroups and weakly extremely commutative ordered semigroups. The results obtained generalize results on semigroups without order.
openaire   +2 more sources

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