2 papers
math.CT2026
Derivations as Algebras
Jean-Simon Pacaud Lemay, Chiara Sava
Differential categories provide the categorical foundations for the algebraic approaches to differentiation. They have been successful in formalizing various important concepts rel…
math.AC2025
Fundamental Theorems of Calculus and Zinbiel Algebras
Jean-Simon Pacaud Lemay
Derivations are linear operators which satisfy the Leibniz rule, while integrations are linear operators which satisfy the Rota-Baxter rule. In this paper, we introduce the notion…