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math.AC2025★ 1 cited
On the set of atoms and strong atoms in additive monoids of cyclic semidomains
Jiya Dani, Anna Deng, Marly Gotti +4
Let be a cancellative and commutative monoid. A non-invertible element of is called an atom (or irreducible element) if it cannot be factored into two non-invertible elemen…
math.AC2024
On the Internal Sum of Puiseux Monoids
Jonathan Du, Bryan Li, Shaohuan Zhang
In this paper, we investigate the internal (finite) sum of submonoids of rank- torsion-free abelian groups. These submonoids, when not groups, are isomorphic to nontrivial submo…