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math.AC2023
On the subatomicity of polynomial semidomains
Felix Gotti, Harold Polo
A semidomain is an additive submonoid of an integral domain that is closed under multiplication and contains the identity element. Although atomicity and divisibility in integral d…
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…