404 citations
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6 papers · 1 filter
The set of minimal distances of the monoid of plus-minus weighted zero-sum sequences and applications to the characterization problem
Kamil Merito, Oscar Ordaz, Wolfgang Schmid
Recently a systematic investigation of monoids of sequences of plus-minus weighted zero-sum sequences had been started, which is among others motivated by applications to monoids o…
Some exact values of the Harborth constant and its plus-minus weighted analogue
Luz Elimar Marchan, Oscar Ordaz, Dennys Ramos +1
The Harborth constant of a finite abelian group is the smallest integer such that each subset of of cardinality has a subset of cardinality equal to the exponent…
On Galvin's lemma and Ramsey spaces
Jose G. Mijares
An abstract version of Galvin's lemma is proven, within the framework of the theory of Ramsey spaces. Some instances of it are explored.
Koszul duality for monoids and the operad of enriched rooted trees
Miguel A. Mendez
We introduce here the notion of Koszul duality for monoids in the monoidal category of species with respect to the ordinary product. To each Koszul monoid we associate a class of K…
Rational Combinatorics
Hector Blandin, Rafael Diaz
We propose a categorical setting for the study of the combinatorics of rational numbers. We find combinatorial interpretation for the Bernoulli and Euler numbers and polynomials.
On the arithmetic product of combinatorial species
Manuel Maia, Miguel Mendez
We introduce two new binary operations with combinatorial species; the arithmetic product and the modified arithmetic product. The arithmetic product gives combinatorial meaning to…