Results 11 to 20 of about 35,172 (254)
Semigroup Forum, 2021 We construct certain monoids, called tied monoids. These monoids result to be semidirect products finitely presented and commonly built from braid groups and their relatives acting on monoids of set partitions. The nature of our monoids indicate that they should give origin to new knot algebras; indeed, our tied monoids include the tied braid monoid ...
Arcis, Diego, Juyumaya, Jesús
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Monoidal Supercategories [PDF]
Communications in Mathematical Physics, 2017 42 pages, sign error in Definition 1.16 ...
Brundan, Jonathan, Ellis, Alexander P.
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Logical Methods in Computer Science, 2023 We introduce monoidal width as a measure of complexity for morphisms in monoidal categories. Inspired by well-known structural width measures for graphs, like tree width and rank width, monoidal width is based on a notion of syntactic decomposition: a monoidal decomposition of a morphism is an expression in the language of monoidal categories, where ...
Elena Di Lavore, Paweł Sobociński
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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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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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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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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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, 2002 We construct a new monoid structure for Artin groups associated with finite Coxeter systems. This monoid shares with the classical positive braid monoid a crucial algebraic property: it is a Garside monoid.
Bessis, David
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