Results 11 to 20 of about 14,100 (198)

Concave Soft Sets, Critical Soft Points, and Union-Soft Ideals of Ordered Semigroups [PDF]

open access: yesThe 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
doaj   +2 more sources

On Ordered Regular Semigroups with a Zero Element [PDF]

open access: yesMathematics 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
doaj   +1 more source

Prime i-Ideals in Ordered n-ary Semigroups

open access: yesMathematics, 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
doaj   +1 more source

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

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

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

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

ORDERED CATEGORIES AND ORDERED SEMIGROUPS [PDF]

open access: yesCommunications 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
openaire   +2 more sources

Some Results on Single Valued Neutrosophic Bi-ideals in Ordered Semigroups [PDF]

open access: yesNeutrosophic Sets and Systems, 2021
The importance of the theory of neutrosophy is due to its connections with several fields of sciences, engineering, and technology. So, the aim of this paper is to relate neutrosophy with some algebraic structures mainly the ordered semigroups.
H. Al-Akara, M. Al-Tahan, J. Vimala
doaj   +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

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