43 citations · 241 across the 35 of their papers we have counts for
6 papers · 1 filter
On primality and atomicity of numerical power monoids
Anay Aggarwal, Felix Gotti, Susie Lu
In the first part of this paper, we establish a variation of a recent result by Bienvenu and Geroldinger on the (almost) non-existence of absolute irreducibles in (restricted) powe…
Factoriality inside Boolean lattices
Khalid Ajran, Felix Gotti
Given a join semilattice with a minimum , the quarks (also called atoms in order theory) are the elements that cover , and for each $x \in S \setminus \{\hat{…
Tilings and matroids on regular subdivisions of a triangle
Felix Gotti, Harold Polo
In this paper we investigate a family of matroids introduced by Ardila and Billey to study one-dimensional intersections of complete flag arrangements of . The set of…
Positroids Induced by Rational Dyck Paths
Felix Gotti
A rational Dyck path of type is an increasing unit-step lattice path from to that never goes above the diagonal line . On the o…
The Chain Group of a Forest
Felix Gotti, Marly Gotti
For every labeled forest with set of vertices we can consider the subgroup of the symmetric group that is generated by all the cycles determined by all…
Dyck Paths and Positroids from Unit Interval Orders
Anastasia Chavez, Felix Gotti
It is well known that the number of non-isomorphic unit interval orders on equals the -th Catalan number. Using work of Skandera and Reed and work of Postnikov, we show th…