Research Article

Factorization in monoids by stratification of atoms and the Elliott problem

Published in: Quaestiones Mathematicae
Volume 46 , issue 6 , 2023 , pages: 1195–1219

DOI: 10.2989/16073606.2022.2071776

Author(s): Pedro A. García-Sánchez Universidad de Granada, España , Ulrich Krause Universität Bremen, Germany , David Llena Universidad de Almeria, España

Keywords: 20M14 , 20M13 , 11D04 , Elliott problem , atomic monoid , root-closed monoid , Diophantine equation , Hilbert basis

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Abstract

In an additive factorial monoid each element can be represented as a linear combination of irreducible elements (atoms) with uniquely determined coefficients running over all natural numbers.

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