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On Naturally Ordered Abundant Semigroups with an Adequate Monoid Transversal

open access: goldDiscrete Dynamics in Nature and Society, 2019
In this paper, we study a class of naturally ordered abundant semigroups with an adequate monoid transversal, namely, naturally ordered concordant semigroups with an adequate monoid transversal. After giving some properties of such semigroups, we obtain a structure theorem for naturally ordered concordant semigroups with an adequate monoid transversal.
Wei Chen
semanticscholar   +5 more sources

Finite basis problems for stalactic, taiga, sylvester and baxter monoids [PDF]

open access: yesJournal of Algebra and its Applications, 2021
Stalactic, taiga, sylvester and Baxter monoids arise from the combinatorics of tableaux by identifying words over a fixed ordered alphabet whenever they produce the same tableau via some insertion algorithm.
B. Han, Wen Ting Zhang
semanticscholar   +1 more source

On (2; 2)-regular Non-associative Ordered Semigroups via Its Semilattices and Generated (Generalized Fuzzy) Ideals

open access: yes, 2020
The main motivation behind this paper is to study some structural properties of a non-associative structure as it hasn't attracted much attention compared to associative structures. In this paper, we introduce the concept of an ordered A*G**-groupoid and
Yousef Al-Qudah   +3 more
semanticscholar   +1 more source

Construction of lattice orders on the semigroup ring of a positive rooted monoid

open access: yesJournal of Algebra, 2003
Let \((M,+,\leq)\) be a strictly partially ordered monoid such that (1) the set of all upper bounds of each element in \(M\) is a chain, (2) each non-zero element \(a\in M\) is positive (i.e ...
Jingjing Ma, Stuart A. Steinberg
openaire   +3 more sources

Completions of monoids with applications to the Cuntz semigroup [PDF]

open access: yes, 2010
We provide an abstract categorical framework that relates the Cuntz semigroups of the C$^*$-algebras $A$ and $A\otimes \mathcal{K}$. This is done through a certain completion of ordered monoids by adding suprema of countable ascending sequences.
Ramon Antoine, J. Bosa, F. Perera
semanticscholar   +1 more source

Locally countable pseudovarieties [PDF]

open access: yesPublicacions matemàtiques, 2019
The purpose of this paper is to contribute to the theory of profinite semigroups by considering the special class consisting of those all of whose finitely generated closed subsemigroups are countable, which are said to be locally countable. We also call
J. Almeida, O. Kl'ima
semanticscholar   +1 more source

Ordered left PP monoids

open access: yes, 2014
An ordered monoid S in which every principal left ideal, regarded as an S-poset, is projective is called an ordered left PP monoid, for short, an ordered lpp monoid.
Xiaoping Shi
semanticscholar   +1 more source

On lattice-ordered monoids

open access: yes, 2003
In the paper lattice-ordered monoids and specially normal latticeordered monoids which are a generalization of dually residuated latticeordered semigroups are investigated. Normal lattice-ordered monoids are metricless normal lattice-ordered autometrized
M. Jasem
semanticscholar   +1 more source

Ideal Structure of the Kauffman and Related Monoids

open access: yes, 2006
The generators of the Temperley-Lieb algebra generate a monoid with an appealing geometric representation. It has been much studied, notably by Louis Kauffman.
K. Lau, D. Fitzgerald
semanticscholar   +1 more source

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