15 citations · 61 across the 13 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…
On the finiteness of certain factorization invariants
Laura Cossu, Salvatore Tringali
Let be a monoid, be the free monoid on a set , and be the unique extension of the identity map on to a monoid homomorphism . G…
Factorization under Local Finiteness Conditions
Laura Cossu, Salvatore Tringali
It has been recently observed that fundamental aspects of the classical theory of factorization can be greatly generalized by combining the languages of monoids and preorders. This…
Abstract Factorization Theorems with Applications to Idempotent Factorizations
Laura Cossu, Salvatore Tringali
Let be a preorder on a monoid and be an integer . The -height of an is the sup of the integers for which there is a (strictly)…