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A Study on Centralizing Monoids with Majority Operation Witnesses
Scientific Annals of Computer Science, 2023 A centralizing monoid M is a set of unary operations which commute with some set F of operations. Here, F is called a witness of M . On a 3-element set, a centralizing monoid is maximal if and only if it has a constant operation or a majority ...
Hajime Machida
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A Parametric Functional Equation Originating from Number Theory
Annales Mathematicae Silesianae, 2022 Let S be a semigroup and α, β ∈ ℝ. The purpose of this paper is to determine the general solution f : ℝ2 → S of the following parametric functional equation f(x1+x2+αy1y2,x1y2+x2y1+βy1y2)=f(x1,y1)f(x2,y2),f\left( {{x_1} + {x_2} + \alpha {y_1}{y_2},{x_1 ...
Mouzoun Aziz +2 more
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Communications in Algebra, 2016 Skew monoidal categories are monoidal categories with non-invertible `coherence' morphisms. As shown in a previous paper bialgebroids over a ring R can be characterized as the closed skew monoidal structures on the category Mod R in which the unit object is R. This offers a new approach to bialgebroids and Hopf algebroids.
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On finest unitary extensions of topological monoids
Topological Algebra and its Applications, 2015 We prove that the Wyler completion of the unitary Cauchy space on a given Hausdorff topological 5 monoid consisting of the underlying set of this monoid and of the family of unitary Cauchy filters on it, is a T2-topological space and, in the commutative ...
Averbukh Boris G.
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Garside monoids vs divisibility monoids [PDF]
Mathematical Structures in Computer Science, 2005 Divisibility monoids (resp. Garside monoids) are a natural algebraic generalization of Mazurkiewicz trace monoids (resp. spherical Artin monoids), namely monoids in which the distributivity of the underlying lattices (resp. the existence of common multiples) is kept as an hypothesis, but the relations between the generators are not supposed to ...
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, 2018 Given a classical algebraic structure—e.g. a monoid or group—with carrier set X, and given a positive integer n, there is a canonical way of obtaining the same structure on carrier set Xn by defining the required operations “pointwise”. For resource-sensitive algebra (i.e.
Chantawibul, Apiwat, Sobocinski, Pawel
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Growth function for a class of monoids [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 In this article we study a class of monoids that includes Garside monoids, and give a simple combinatorial proof of a formula for the formal sum of all elements of the monoid.
Marie Albenque, Philippe Nadeau
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Artin group injection in the Hecke algebra for right-angled groups [PDF]
, 2018 For any Coxeter system we consider the algebra generated by the projections over the parabolic quotients. In the finite case it turn out that this algebra is isomorphic to the monoid algebra of the Coxeter monoid (0-Hecke algebra).
Sentinelli, Paolo
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Continuous Homomorphisms Defined on (Dense) Submonoids of Products of Topological Monoids
Axioms, 2020 We study the factorization properties of continuous homomorphisms defined on a (dense) submonoid S of a Tychonoff product D = ∏ i ∈ I D i of topological or even topologized monoids.
Mikhail Tkachenko
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On presentations of Brauer-type monoids [PDF]
, 2005 We obtain presentations for the Brauer monoid, the partial analogue of the Brauer monoid, and for the greatest factorizable inverse submonoid of the dual symmetric inverse monoid. In all three cases we apply the same approach, based on the realization of
Kudryavtseva, Ganna +1 more
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