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IMCS/Publications/BASM/Issues/BASM n.1 (44), 2004/

Transfer properties in radical theory.

Authors: B.J. Gardner

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.

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