Results 1 to 10 of about 14,642 (224)

ORDERED CATEGORIES AND ORDERED SEMIGROUPS [PDF]

open access: greenCommunications 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.
Jean-Éric Pin   +2 more
openalex   +5 more sources

Bisimple Inverse Semigroups as Semigroups of Ordered Triples [PDF]

open access: bronzeCanadian Journal of Mathematics, 1968
In (8) and (13) it has been shown that certain bisimple inverse semigroups, called bisimple ω-semigroups and bisimple Z-semigroups, can be represented as semigroups of ordered triples. In these cases, two of the components of each triple are integers, and the third is drawn from a fixed group.
Norman R. Reilly, A. H. Clifford
openalex   +3 more sources

Ordered Semigroups Based on ∈,∈∨qkδ-Fuzzy Ideals

open access: goldAdvances in Fuzzy Systems, 2018
A new trend of using fuzzy algebraic structures in various applied sciences is becoming a central focus due to the accuracy and nondecoding nature. The aim of the present paper is to develop a new type of fuzzy subsystem of an ordered semigroup S.
Faiz Muhammad Khan   +3 more
doaj   +2 more sources

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

open access: greenNeutrosophic 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   +3 more sources

Generalized Bi-ideal of Ordered Semigroup Related to Intuitionistic Fuzzy Point [PDF]

open access: diamondMatrix Science Mathematic, 2017
Intuitionistic fuzzy generalized bi-ideals play an important role in the study of ordered semigroups. In this paper, we try obtain more general form of intuitionistic fuzzy generalized bi-ideal of an ordered semigroup.
Hidayat Ullah Khan   +3 more
doaj   +2 more sources

Union soft set theory applied to ordered semigroups

open access: goldInternational Journal of Analysis and Applications, 2020
The uni-soft type of bi-ideals in ordered semigroup is considered. The notion of a uni-soft bi-ideal is introduced and the related properties are investigated.
Raees Khan   +3 more
doaj   +3 more sources

Semigroup structure in compactifications of ordered semigroups [PDF]

open access: bronzeCzechoslovak Mathematical Journal, 1977
John Pym, Harkrishan Lal Vasudeva
openalex   +3 more sources

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

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