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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.
@article{TAC_1999_6_a7, author = {Robert Raphael}, title = {Epimorphic regular contexts}, journal = {Theory and applications of categories}, pages = {94--104}, publisher = {mathdoc}, volume = {6}, year = {1999}, language = {en}, url = {http://geodesic.mathdoc.fr/item/TAC_1999_6_a7/} }
Robert Raphael. Epimorphic regular contexts. Theory and applications of categories, The Lambek Festschrift, Tome 6 (1999), pp. 94-104. http://geodesic.mathdoc.fr/item/TAC_1999_6_a7/