Radical and semisimple classes in categories

A. Buys, N. J. Groenewald, S. Veldsman

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


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: 1. Which objects should be excluded when defining radical and semisimple classes? 2. Given a concrete category, what should the relationship be between the objects used in defining radical and semisimple classes?. AMS(MOS) codes: 18E40, 16A21.

Original languageEnglish
Pages (from-to)205-220
Number of pages16
JournalQuaestiones Mathematicae
Issue number3
Publication statusPublished - Jan 1 1981
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics (miscellaneous)


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