Conference on Rings and Polynomials 2025, TU Graz, Graz, Austria.

(2025) Conference on Rings and Polynomials 2025 — Location: Graz, Austria. (14.July.2025)

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Abstract
The Category of Atomic Monoids. 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. Based on a joint work with Laura Cossu and Salvatore Tringali.
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Citations

Campanini, F. (2025). Conference on Rings and Polynomials 2025, TU Graz, Graz, Austria. Conference on Rings and Polynomials 2025, Graz, Austria.