Zobrazeno 1 - 10
of 385
pro vyhledávání: '"CAIN, P. J."'
Cameron, et al. determined the maximum size of a null subsemigroup of the full transformation semigroup $\mathcal{T}(X)$ on a finite set $X$ and provided a description of the null semigroups that achieve that size. In this paper we extend the results
Externí odkaz:
http://arxiv.org/abs/2310.08481
It is provided a local characterization of quasi-crystal graphs, by presenting a set of local axioms, similar to the ones introduced by Stembridge for crystal graphs of simply-laced root systems. It is also shown that quasi-crystal graphs satisfying
Externí odkaz:
http://arxiv.org/abs/2309.14898
Structure of quasi-crystal graphs and applications to the combinatorics of quasi-symmetric functions
Crystal graphs are powerful combinatorial tools for working with the plactic monoid and symmetric functions. Quasi-crystal graphs are an analogous concept for the hypoplactic monoid and quasi-symmetric functions. This paper makes a combinatorial stud
Externí odkaz:
http://arxiv.org/abs/2309.14887
This paper shows how to construct explicitly an automaton that generates an arbitrary numerical semigroup.
Comment: 5 pages
Comment: 5 pages
Externí odkaz:
http://arxiv.org/abs/2303.12715
The hypoplactic monoid was introduced by Krob and Thibon through a presentation and through quasi-ribbon tableaux and an insertion algorithm. Just as Kashiwara crystals enriched the structure of the plactic monoid and allowed its generalization, the
Externí odkaz:
http://arxiv.org/abs/2301.00271
We exhibit faithful representations of the hypoplactic, stalactic, taiga, sylvester, Baxter and right patience sorting monoids of each finite rank as monoids of upper triangular matrices over any semiring from a large class including the tropical sem
Externí odkaz:
http://arxiv.org/abs/2107.04492
This paper presents new results on the identities satisfied by the sylvester and Baxter monoids. We show how to embed these monoids, of any rank strictly greater than 2, into a direct product of copies of the corresponding monoid of rank 2. This conf
Externí odkaz:
http://arxiv.org/abs/2106.00733