5 papers · 1 filter
Atomicity of Positive Monoids
Scott T. Chapman, Marly Gotti
An additive submonoid of the nonnegative cone of the real line is called a positive monoid. Positive monoids consisting of rational numbers (also known as Puiseux monoids) have bee…
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…
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…
When is a Puiseux monoid atomic?
Scott T. Chapman, Felix Gotti, Marly Gotti
A Puiseux monoid is an additive submonoid of the nonnegative rational numbers. If is a Puiseux monoid, then the question of whether each non-invertible element of can be wr…
Factorization invariants of Puiseux monoids generated by geometric sequences
Scott T. Chapman, Felix Gotti, Marly Gotti
We study some of the factorization invariants of the class of Puiseux monoids generated by geometric sequences, and we compare and contrast them with the known results for numerica…