Geodesic
On von Neumann varieties
Theory and applications of categories, The Carboni Festschrift, Tome 13 (2004), pp. 5-26

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

We generalize to an arbitrary variety the von Neumann axiom for a ring. We study its implications on the purity of monomorphisms and the flatness of algebras.

Classification : 08B30, 18C35, 16E50
Keywords: variety, flat algebra, pure monomorphism, von Neumann ring, locally finitely presentable category 
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F. Borceux; J. Rosicky. On von Neumann varieties. Theory and applications of categories, The Carboni Festschrift, Tome 13 (2004), pp. 5-26. http://geodesic.mathdoc.fr/item/TAC_2004_13_a0/