Radical and semisimple classes in categories

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

doi:10.1080/16073606.1981.9631873

Radical and semisimple classes in categories

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

Research output: Contribution to journal › Article › peer-review

6 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 language	English
Pages (from-to)	205-220
Number of pages	16
Journal	Quaestiones Mathematicae
Volume	4
Issue number	3
DOIs	https://doi.org/10.1080/16073606.1981.9631873
Publication status	Published - Jan 1 1981
Externally published	Yes

ASJC Scopus subject areas

Mathematics (miscellaneous)

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10.1080/16073606.1981.9631873

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AB - 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.

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Radical and semisimple classes in categories

Abstract

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