Transfer properties in radical theory
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GARDNER, Barry. Transfer properties in radical theory. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2004, nr. 1(44), pp. 46-56. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(44) / 2004 / ISSN 1024-7696 /ISSNe 2587-4322

Transfer properties in radical theory

Pag. 46-56

Gardner Barry
 
 
Disponibil în IBN: 8 decembrie 2013


Rezumat

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.

Cuvinte-cheie
Radical,

category suitable for radical theory, multioperator group, right alternative ring.