On von Neumann varieties

F. Borceux and J. Rosicky

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.

Keywords: variety, flat algebra, pure monomorphism, von Neumann ring, locally finitely presentable category

2000 MSC: 08B30, 18C35, 16E50

Theory and Applications of Categories, Vol. 13, 2004, No. 1, pp 5-26.


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