Geodesic
On Differential Torsion Theories and Rings with Several Objects
Canadian mathematical bulletin, Tome 62 (2019) no. 4, pp. 703-714

Voir la notice de l'article provenant de la source Cambridge University Press

Let ${\mathcal{R}}$ be a small preadditive category, viewed as a “ring with several objects.” A right${\mathcal{R}}$-module is an additive functor from ${\mathcal{R}}^{\text{op}}$ to the category $Ab$ of abelian groups. We show that every hereditary torsion theory on the category $({\mathcal{R}}^{\text{op}},Ab)$ of right ${\mathcal{R}}$-modules must be differential.
DOI : 10.4153/S0008439518000656
Mots-clés : hereditary torsion theory, differential torsion theory, ring with several objects 
Banerjee, Abhishek. On Differential Torsion Theories and Rings with Several Objects. Canadian mathematical bulletin, Tome 62 (2019) no. 4, pp. 703-714. doi: 10.4153/S0008439518000656
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