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math.RA2025
On the arithmetic of power monoids
Laura Cossu, Salvatore Tringali
Given a monoid (written multiplicatively), the family of all non-empty finite subsets of containing the identity element is itself a…
math.RA2025
The Category of Atomic Monoids: Universal Constructions and Arithmetic Properties
Federico Campanini, Laura Cossu, Salvatore Tringali
We introduce and investigate the category of atomic monoids and atom-preserving monoid homomorphisms, which is a (non-full) subcategory of the usual category of m…
math.RA2024
Some applications of a new approach to factorization
Laura Cossu
As highlighted in a series of recent papers by Tringali and the author, fundamental aspects of the classical theory of factorization can be significantly generalized by blending th…