A von Neumann regular extension of a semiprime ring naturally defines a epimorphic extension in the category of rings. These are studied, and four natural examples are considered, two in commutative ring theory, and two in rings of continuous functions.
Keywords: epimorphism, von Neumann regular.
1991 MSC: 13A99, 18A20, 16B50.
Theory and Applications of Categories, Vol. 6, 1999, No. 8, pp 94-104.
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