43 citations · 241 across the 35 of their papers we have counts for
5 papers · 1 filter
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…
Increasing positive monoids of ordered fields are FF-monoids
Felix Gotti
Given an ambient ordered field , a positive monoid is a countably generated additive submonoid of the nonnegative cone of . In this paper, we first generalize several atomic…
On Delta Sets and their Realizable Subsets in Krull Monoids with Cyclic Class Groups
Scott T. Chapman, Felix Gotti, Roberto Pelayo
Let be a commutative cancellative monoid. The set , which consists of all positive integers which are distances between consecutive factorization lengths of elements in $…
Atomicity and boundedness of monotone Puiseux monoids
Felix Gotti, Marly Gotti
In this paper, we study the atomic structure of Puiseux monoids generated by monotone sequences. To understand this atomic structure, it is often useful to know whether the monoid…
On the Atomic Structure of Puiseux Monoids
Felix Gotti
In this paper, we study the atomic structure of the family of Puiseux monoids. Puiseux monoids are a natural generalization of numerical semigroups, which have been actively studie…