Original Articles

RADICAL AND SEMISIMPLE CLASSES IN CATEGORIES

Published in: Quaestiones Mathematicae
Volume 4 , issue 3 , 1981 , pages: 205–220

DOI: 10.1080/16073606.1981.9631873

Author(s): A. Buys Department of Mathematics, , N.J. Groenewald Department of Mathematics, , S. Veldsman Department of Mathematics,

Keywords: 18E40 , 16A21

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Abstract

In this paper we show that the definition and construction of radical and semisimple classes of associative rings can be interpreted in a general category K in terms of two subclasses of epimorphisms and mono-morphisms. We also provide answers to the following two questions posed by Wiegandt:

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