Results 31 to 40 of about 2,525 (93)

On the molecules of numerical semigroups, Puiseux monoids, and Puiseux algebras

open access: yes, 2020
A molecule is a nonzero non-unit element of an integral domain (resp., commutative cancellative monoid) having a unique factorization into irreducibles (resp., atoms).
A Geroldinger   +15 more
core   +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

Tensor products and regularity properties of Cuntz semigroups

open access: yes, 2014
The Cuntz semigroup of a C*-algebra is an important invariant in the structure and classification theory of C*-algebras. It captures more information than K-theory but is often more delicate to handle.
Antoine, Ramon   +2 more
core   +1 more source

Quivers of monoids with basic algebras

open access: yes, 2011
We compute the quiver of any monoid that has a basic algebra over an algebraically closed field of characteristic zero. More generally, we reduce the computation of the quiver over a splitting field of a class of monoids that we term rectangular monoids (
Aguiar   +27 more
core   +1 more source

Non-commutative Stone duality: inverse semigroups, topological groupoids and C*-algebras [PDF]

open access: yes, 2012
We study a non-commutative generalization of Stone duality that connects a class of inverse semigroups, called Boolean inverse $\wedge$-semigroups, with a class of topological groupoids, called Hausdorff Boolean groupoids. Much of the paper is given over
Lawson, Mark V
core   +1 more source

Is every product system concrete?

open access: yesTransactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract Is every product system of Hilbert spaces over a semigroup P$P$ concrete, that is, isomorphic to the product system of an E0$E_0$‐semigroup over P$P$? The answer is no if P$P$ is discrete, cancellative and does not embed in a group. However, we show that the answer is yes for a reasonable class of semigroups.
S. Sundar
wiley   +1 more source

Commutative positive varieties of languages

open access: yes, 2017
We study the commutative positive varieties of languages closed under various operations: shuffle, renaming and product over one-letter ...
Almeida, Jorge   +2 more
core   +1 more source

The Tutte-Grothendieck group of a convergent alphabetic rewriting system [PDF]

open access: yes, 2011
The two operations, deletion and contraction of an edge, on multigraphs directly lead to the Tutte polynomial which satisfies a universal problem. As observed by Brylawski in terms of order relations, these operations may be interpreted as a particular ...
Poinsot, Laurent
core   +5 more sources

Growth problems in diagram categories

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3454-3469, November 2025.
Abstract In the semisimple case, we derive (asymptotic) formulas for the growth rate of the number of summands in tensor powers of the generating object in diagram/interpolation categories.
Jonathan Gruber, Daniel Tubbenhauer
wiley   +1 more source

On Endomorphism Universality of Sparse Graph Classes

open access: yesJournal of Graph Theory, Volume 110, Issue 2, Page 223-244, October 2025.
ABSTRACT We show that every commutative idempotent monoid (a.k.a. lattice) is the endomorphism monoid of a subcubic graph. This solves a problem of Babai and Pultr and the degree bound is best‐possible. On the other hand, we show that no class excluding a minor can have all commutative idempotent monoids among its endomorphism monoids. As a by‐product,
Kolja Knauer, Gil Puig i Surroca
wiley   +1 more source

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