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math.AC2021
Factorizations in reciprocal Puiseux monoids
Cecilia Aguilera, Marly Gotti, Andre F. Hamelberg
A Puiseux monoid is an additive submonoid of the real line consisting of rationals. We say that a Puiseux monoid is reciprocal if it can be generated by the reciprocals of the term…
math.AC2021
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…