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math.CT2026
Categorical Algebra of Atomic Monoids: Presentability, Regularity, and Pretorsion Theories
Federico Campanini, Laura Cossu
We study the category of atomic monoids and atom-preserving homomorphisms. We prove that is locally finitely presentable by exhibiting a strong…
math.CT2023
Building pretorsion theories from torsion theories
Federico Campanini, Francesca Fedele
Torsion theories play an important role in abelian categories and they have been widely studied in the last sixty years. In recent years, with the introduction of pretorsion theori…