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On Naturally Ordered Abundant Semigroups with an Adequate Monoid Transversal
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
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Finite basis problems for stalactic, taiga, sylvester and baxter monoids [PDF]
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
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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
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Construction of lattice orders on the semigroup ring of a positive rooted monoid
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]
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]
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
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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
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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
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Ideal Structure of the Kauffman and Related Monoids
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
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K-Theory for Semigroup C*-Algebras and Partial Crossed Products. [PDF]
Li X.
europepmc +1 more source

