8 citations · 12 across the 10 of their papers we have counts for
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math.AC2020
Approximating length-based invariants in atomic Puiseux monoids
Harold Polo
A numerical monoid is a cofinite additive submonoid of the nonnegative integers, while a Puiseux monoid is an additive submonoid of the nonnegative cone of the rational numbers. Us…
math.AC2020★ 8 cited
On the atomic structure of exponential Puiseux monoids and semirings
Sofía Albizu-Campos, Juliet Bringas, Harold Polo
A Puiseux monoid is an additive submonoid of the nonnegative cone of the rational numbers. We say that a Puiseux monoid is exponential provided that there exist a positive rati…
math.AC2020
On the sets of lengths of Puiseux monoids generated by multiple geometric sequences
Harold Polo
In this paper, we study some of the factorization aspects of rational multicyclic monoids, that is, additive submonoids of the nonnegative rational numbers generated by multiple ge…