30 citations · 34 across the 12 of their papers we have counts for
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math.AC2020
On the set of molecules of numerical and Puiseux monoids
Marly Gotti, Marcos M. Tirador
Additive submonoids of , also known as Puiseux monoids, are not unique factorization monoids (UFMs) in general. Indeed, the only unique factorization Puiseux mo…
math.AC2020
Atomicity and Factorization of Puiseux Monoids
Marly Gotti
A Puiseux monoid is an additive submonoid of the nonnegative cone of rational numbers. Although Puiseux monoids are torsion-free rank-one monoids, their atomic structure is rich an…
math.AC2020
Atomicity and Density of Puiseux Monoids
Maria Bras-Amoros, Marly Gotti
A Puiseux monoid is a submonoid of consisting of nonnegative rational numbers. Although the operation of addition is continuous with respect to the standard topolo…