This article is cited in 1 paper

Research articles

Transfer properties in radical theory

R. J. Gardner

Discipline of Mathematics, University of Tasmania, Hobart Tas., Australia

Abstract: A functor is said to reflect radical classes if under this functor the inverse image of a radical class is always a radical class.Prototypical examples of such functors include polynomial and matrix functors and various forgetful functors.This paper is for the most part a survey of known results concerning radical reflections,but there are a few new results,including a generalization to right alternative rings of a well known result of Andrunakievici on upper radicals of simple associative rings.

Keywords and phrases: Radical,category suitable for radical theory,multioperator group, right alternative ring.

MSC: 18E40,16N80,16S90

Received: 12.12.2003

Language: English

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