Results 21 to 30 of about 31,145 (240)
When Is a Puiseux Monoid Atomic?
The American mathematical monthly, 2020 A Puiseux monoid is an additive submonoid of the nonnegative rational numbers. If M is a Puiseux monoid, then the question of whether each nonunit element of M can be written as a sum of irreducible elements (that is, M is atomic) is surprisingly ...
S. Chapman, F. Gotti, Marly Gotti
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The talented monoid of a Leavitt path algebra [PDF]
Journal of Algebra, 2019 There is a tight relation between the geometry of a directed graph and the algebraic structure of a Leavitt path algebra associated to it. In this note, we show a similar connection between the geometry of the graph and the structure of a certain monoid ...
R. Hazrat, Huanhuan Li
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Journal of Algebra and its Applications, 2020 Let [Formula: see text] be an atomic monoid. For [Formula: see text], let [Formula: see text] denote the set of all possible lengths of factorizations of [Formula: see text] into irreducibles.
F. Gotti
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Irreducibility and Factorizations in Monoid Rings [PDF]
Numerical Semigroups, 2019 For an integral domain $R$ and a commutative cancellative monoid $M$, the ring consisting of all polynomial expressions with coefficients in $R$ and exponents in $M$ is called the monoid ring of $M$ over $R$.
F. Gotti
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The structure monoid and algebra of a non-degenerate set-theoretic solution of the Yang–Baxter equation [PDF]
Transactions of the American Mathematical Society, 2018 For a finite involutive non-degenerate solution ( X , r ) (X,r) of the Yang–Baxter equation it is known that the structure monoid M ( X , r ) M(X,
E. Jespers, L. Kubat, A. V. Antwerpen
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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 the algebraic and arithmetic structure of the monoid of product-one sequences II [PDF]
Periodica Mathematica Hungarica, 2018 Let G be a finite group and $$G'$$G′ its commutator subgroup. By a sequence over G, we mean a finite unordered sequence of terms from G, where repetition is allowed, and we say that it is a product-one sequence if its terms can be ordered such that their
J. Oh
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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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The Representation Theory of the Increasing Monoid [PDF]
Memoirs of the American Mathematical Society, 2018 We study the representation theory of the increasing monoid. Our results provide a fairly comprehensive picture of the representation category: for example, we describe the Grothendieck group (including the effective cone), classify injective objects ...
Sema Gunturkun, Andrew Snowden
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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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