Results 11 to 20 of about 15,000 (228)
Nagoya 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 +.
Paul Conrad
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Regular Ordered Ternary Semigroups in Terms of Bipolar Fuzzy Ideals [PDF]
Mathematics, 2019 Our main objective is to introduce the innovative concept of (α,ß)-bipolar fuzzy ideals and (α,ß)-bipolar fuzzy generalized bi-ideals in ordered ternary semigroups by using the idea of belongingness and quasi-coincidence of an ...
Shahida Bashir +2 more
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On ordered $��$-semigroups ($��$-semigroups)
, 2014 We add here some further characterizations to the characterizations of strongly regular ordered $ $-semigroups already considered in Hacettepe J. Math. 42 (2013), 559--567. Our results generalize the characterizations of strongly regular ordered semigroups given in the Theorem in Math. Japon.
Niovi Kehayopulu
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Concave Soft Sets, Critical Soft Points, and Union-Soft Ideals of Ordered Semigroups [PDF]
The Scientific World Journal, 2014 The notions of union-soft semigroups, union-soft l-ideals, and union-soft r-ideals are introduced, and related properties are investigated. Characterizations of a union-soft semigroup, a union-soft l-ideal, and a union-soft r-ideal are provided.
Young Bae Jun +2 more
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On Ordered Regular Semigroups with a Zero Element [PDF]
Mathematics Interdisciplinary Research, 2022 In this paper, we study several conditions on ordered regular semigroups containing a zero element. In particular, we consider the natural and semigroup order and their connections to the properties of being principally ordered, Dubreil-Jacotin and BZS ...
Goncalo Pinto
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Prime i-Ideals in Ordered n-ary Semigroups
Mathematics, 2021 We study the concept of i-ideal of an ordered n-ary semigroup and give a construction of the i-ideal of an ordered n-ary semigroup generated by its nonempty subset.
Patchara Pornsurat +2 more
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From ∨e-Semigroups to Hypersemigroups
Discussiones Mathematicae - General Algebra and Applications, 2021 A poe-semigroup is a semigroup S at the same time an ordered set having a greatest element “e” in which the multiplication is compatible with the ordering.
Kehayopulu Niovi
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ORDERED CATEGORIES AND ORDERED SEMIGROUPS [PDF]
Communications in Algebra, 2002 We use ordered categories to study semidirect decompositions of finite ordered semigroups. We obtain ordered analogues of the derived semigroupoid theorem and of the delay theorem. Next we prove that the ordered analogues of semilattices and of J-trivial monoids constitute local varieties, and we derive some decomposition theorems from these results.
Pin, Jean-Eric +2 more
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GENERALIZED UNI-SOFT INTERIOR IDEALS IN ORDERED SEMIGROUPS [PDF]
Journal of Algebraic Systems, 2019 For all M,N∈P(U) such that M⊂N, we first introduced the definitions of (M,N)-uni-soft ideals and (M,N)-uni-soft interior ideals of an ordered semigroup and studied them. When M=∅ and N=U, we meet the ordinary soft ones. Then we proved that in regular and
R. Khan, A. Khan, B. Ahmad, R. Gul
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Intersectional soft gamma ideals of ordered gamma semigroups
AIMS Mathematics, 2021 In contemporary mathematics, parameterization tool like soft set theory precisely tackle complex problems of economics and engineering. In this paper, we demonstrate a novel approach of soft set theory i.e., intersectional soft (int-soft) sets of an ...
Faiz Muhammad Khan +4 more
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