Radical and semisimple classes in categories

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

Research output: Contribution to journalArticle

4 Citations (Scopus)

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: 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
Volume4
Issue number3
DOIs
Publication statusPublished - Jan 1 1981

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Semisimple
Morphisms
Ring
Class
Object

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

Cite this

Radical and semisimple classes in categories. / Buys, A.; Groenewald, N. J.; Veldsman, S.

In: Quaestiones Mathematicae, Vol. 4, No. 3, 01.01.1981, p. 205-220.

Research output: Contribution to journalArticle

Buys, A, Groenewald, NJ & Veldsman, S 1981, 'Radical and semisimple classes in categories', Quaestiones Mathematicae, vol. 4, no. 3, pp. 205-220. https://doi.org/10.1080/16073606.1981.9631873
Buys, A. ; Groenewald, N. J. ; Veldsman, S. / Radical and semisimple classes in categories. In: Quaestiones Mathematicae. 1981 ; Vol. 4, No. 3. pp. 205-220.
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