On the atomic structure of torsion-free monoids

Abstract Let M be a cancellative and commutative (additive) monoid. The monoid M is atomic if every non-invertible element can be written as a sum of irreducible elements, which are also called atoms. Also, M satisfies the ascending chain condition on principal ideals (ACCP) if every in...

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Bibliographic Details
Main Authors: Gotti, Felix, Vulakh, Joseph
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer US 2023
Online Access:https://hdl.handle.net/1721.1/152402