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A characterization of a ∼ admissible congruence on a weakly type B semigroup

open access: yesOpen Mathematics, 2023
In this article, the notions of ∼ \sim admissible congruences and ∼ \sim normal congruences on a weakly type B semigroup are characterized and the relationship between ∼ \sim admissible congruences and ∼ \sim normal congruences is investigated.
Li Chunhua   +3 more
doaj   +1 more source

On Sheffer Stroke Be-Algebras

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2022
In this paper we introduce Sheffer stroke BE-algebras (briefly, SBE-algebras) and investigate a relationship between SBE-algebras and BE-algebras. By presenting a SBE-filter, an upper set and a SBE-subalgebra on a SBE-algebra, it is shown that any SBE ...
Katican Tugce   +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

On pomonoid of partial transformations of a poset

open access: yesOpen Mathematics, 2023
The main objective of this article is to study the ordered partial transformations PO(X){\mathcal{PO}}\left(X) of a poset XX. The findings show that the set of all partial transformations of a poset with a pointwise order is not necessarily a pomonoid ...
Al Subaiei Bana
doaj   +1 more source

On Sheffer Stroke Up-Algebras

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2021
In this paper, we introduce Sheffer Stroke UP-algebra (in short, SUP-algebra) and study its properties. We demonstrate that the Cartesian product of two SUP-algebras is a SUP-algebra.
Oner Tahsin   +2 more
doaj   +1 more source

Almost factorizable weakly type B semigroups

open access: yesOpen Mathematics, 2021
The definition of an almost left factorizable weakly type B semigroup is introduced by using the notion of a left factorizable weakly type B monoids, and some properties and characterizations on such semigroup are obtained.
Li Chunhua   +3 more
doaj   +1 more source

Continued fractions built from convex sets and convex functions [PDF]

open access: yes, 2014
In a partially ordered semigroup with the duality (or polarity) transform, it is possible to define a generalisation of continued fractions. General sufficient conditions for convergence of continued fractions with deterministic terms are provided.
Molchanov, Ilya
core   +2 more sources

A study on strongly convex hyper S-subposets in hyper S-posets

open access: yesOpen Mathematics, 2020
In this paper, we study various strongly convex hyper S-subposets of hyper S-posets in detail. To begin with, we consider the decomposition of hyper S-posets.
Tang Jian, Xie Xiang-Yun, Davvaz Bijan
doaj   +1 more source

Domain theory and mirror properties in inverse semigroups [PDF]

open access: yes, 2012
Inverse semigroups are a class of semigroups whose structure induces a compatible partial order. This partial order is examined so as to establish mirror properties between an inverse semigroup and the semilattice of its idempotent elements, such as ...
Poncet, Paul
core   +3 more sources

Admissible congruences on type B semigroups

open access: yesOpen Mathematics, 2022
The main aim of this article is to study admissible congruences on a type B semigroup. First, we give characterizations of the minimum admissible congruence whose trace is a normal congruence on a type B semigroup.
Li Chunhua   +3 more
doaj   +1 more source

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