Results 11 to 20 of about 14,642 (224)

From ∨e-Semigroups to Hypersemigroups

open access: yesDiscussiones 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
doaj   +1 more source

GENERALIZED UNI-SOFT INTERIOR IDEALS IN ORDERED SEMIGROUPS [PDF]

open access: yesJournal 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
doaj   +1 more source

Intersectional soft gamma ideals of ordered gamma semigroups

open access: yesAIMS 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
doaj   +1 more source

Linear inequations with 5-digit and regularity conditions on ordered ternary semigroups [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2021
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
doaj   +1 more source

Classifiation of Ordered Semigroups Through Neutrosophic Generalized bi-ideals with Applications [PDF]

open access: yesNeutrosophic Sets and Systems, 2022
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
doaj   +1 more source

Pseudoorder in ordered semigroups [PDF]

open access: yesSemigroup Forum, 1995
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.
openaire   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

Fiat categorification of the symmetric inverse semigroup IS_n and the semigroup F^*_n [PDF]

open access: yes, 2017
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
core   +2 more sources

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 +.
openaire   +3 more sources

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