Marcos Tirador

activity

20202024

collaborators

4 papers

math.AC2024

On the atomicity of power monoids of Puiseux monoids

Victor Gonzalez, Eddy Li, Henrick Rabinovitz +2

A submonoid of the additive group $Q$ is called a Puiseux monoid if it consists of nonnegative rationals. Given a monoid $M$ , the set consisting of all nonempty finite sub…

math.RA2023

Subatomicity in Rank-2 Lattice Monoids

Caroline Liu, Pedro Rodriguez, Marcos Tirador

Let $M$ be a cancellative and commutative monoid (written additively). The monoid $M$ is atomic if every non-invertible element can be written as a sum of irreducible elements (oft…

math.AC2023

Factorization in Additive Monoids of Evaluation Polynomial Semirings

Khalid Ajran, Juliet Bringas, Bangzheng Li +2

For a positive real $α$ , we can consider the additive submonoid $M$ of the real line that is generated by the nonnegative powers of $α$ . When $α$ is transcendental, $M$ is a unique…

math.AC2020

On the set of molecules of numerical and Puiseux monoids

Marly Gotti, Marcos M. Tirador

Additive submonoids of $Q_{\geq 0}$ , also known as Puiseux monoids, are not unique factorization monoids (UFMs) in general. Indeed, the only unique factorization Puiseux mo…