We study the category AtoMon of atomic monoids and atom-preserving maps, which is a (non-full) subcategory of the category Mon of monoids. We compute all limits and colimits, showing that AtoMon is both a complete and cocomplete category. Finally, we study some arithmetic properties of products and coproducts of atomic monoids.
Campanini, F. (2024). Advances in Commutative Ring Theory, Catania, Italy. Advances in Commutative Ring Theory, Catania, Italy. https://hdl.handle.net/2078.5/243407