Results 11 to 20 of about 14,642 (224)
From ∨e-Semigroups to Hypersemigroups
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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GENERALIZED UNI-SOFT INTERIOR IDEALS IN ORDERED SEMIGROUPS [PDF]
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
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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Linear inequations with 5-digit and regularity conditions on ordered ternary semigroups [PDF]
We investigate linear inequations with 5-digit of regular elements of ordered ternary semigroups, define the notions of ordered weakly left ideals, ordered weakly right ideals and ordered strong bi-ideals of ordered ternary semigroups, give some ...
Patchara Pornsurat +2 more
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Classifiation of Ordered Semigroups Through Neutrosophic Generalized bi-ideals with Applications [PDF]
An icebreaking theory known as neutrosophic theory opened a new direction for researchers of philosophy, logics, set theory and probability/statistics. Neutrosophy put the point base for a entire household of new mathematical speculations that summarized
Faiz Muhammad Khan +2 more
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Pseudoorder in ordered semigroups [PDF]
The notion of pseudoorder on a partially ordered (p.o.) semigroup \((S, \cdot, \leq)\) was introduced by the authors in an earlier paper [ibid. 50, No. 2, 161-177 (1995; Zbl 0823.06010)]. A transitive, left- and right- compatible relation \(\rho\) on \(S\) is a pseudoorder if \(a \leq b\) implies \(a \rho b\) (consequently, \(\rho\) is reflexive ...
Kehayopulu, N., Tsingelis, M.
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On Ideals in Partially Ordered Ternary Semigroups
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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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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Fiat categorification of the symmetric inverse semigroup IS_n and the semigroup F^*_n [PDF]
Starting from the symmetric group $S_n$, we construct two fiat $2$-categories. One of them can be viewed as the fiat "extension" of the natural $2$-category associated with the symmetric inverse semigroup (considered as an ordered semigroup with respect ...
Martin, Paul, Mazorchuk, Volodymyr
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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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