Results 21 to 30 of about 2,420 (83)

The Finite Basis Problem for Kiselman Monoids [PDF]

, 2015
In an earlier paper, the second-named author has described the identities holding in the so-called Catalan monoids. Here we extend this description to a certain family of Hecke--Kiselman monoids including the Kiselman monoids $\mathcal{K}_n$.
Ashikhmin, D. N., Volkov, M. V., Zhang, Wen Ting   +2 more
core   +2 more sources

On the insertion of n-powers

, 2019
In algebraic terms, the insertion of $n$-powers in words may be modelled at the language level by considering the pseudovariety of ordered monoids defined by the inequality $1\le x^n$.
Almeida, J., Klíma, O.
core   +1 more source

Reaching the minimum ideal in a finite semigroup [PDF]

, 2015
We introduce the depth parameters of a finite semigroup, which measure how hard it is to produce an element in the minimum ideal when we consider generating sets satisfying some minimality conditions.
Karimi, Nasim
core   +2 more sources

Invariant means on Boolean inverse monoids [PDF]

, 2015
The classical theory of invariant means, which plays an important role in the theory of paradoxical decompositions, is based upon what are usually termed `pseudogroups'. Such pseudogroups are in fact concrete examples of the Boolean inverse monoids which
Kudryavtseva, Ganna, Lawson, Mark V., Lenz, Daniel H., Resende, Pedro   +3 more
core   +2 more sources

Tensor products and regularity properties of Cuntz semigroups

, 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, Perera, Francesc, Thiel, Hannes   +2 more
core   +1 more source

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

, 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, DD Anderson, F Gotti, F Gotti, F Gotti, F Gotti, J Coykendall, J Coykendall, PA García-Sánchez, PA García-Sánchez, R Gilmer, S T Chapman, ST Chapman, W Narkiewicz, W Narkiewicz, W Narkiewicz   +15 more
core   +1 more source

Quivers of monoids with basic algebras

, 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, Almeida, Auslander, Benjamin Steinberg, Benson, Borceux, Brown, Brown, Cartan, Cline, Curtis, Denton, Denton, Eilenberg, Ganyushkin, Hsiao, James, Johnstone, Koucký, Krohn, Mac Lane, Mac Lane, Putcha, Renner, Steinberg, Stuart Margolis, Tits, Webb   +27 more
core   +1 more source

Is every product system concrete?

Transactions 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

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

Growth problems in diagram categories

Bulletin 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