Sub-prime radical classes determined by zerorings

1 February 1975

journal article
research article
Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society

Vol. 12 (1) , 95-97
https://doi.org/10.1017/s0004972700023674

Abstract

It is shown that the correspondence which associates with each radical class τ of abelian groups the (radical) class of prime radical rings with additive groups in τ gives a complete classification of those radical classes of rings which are determined (as lower radicals) by zerorings.

Keywords

RADICAL CLASSES
PRIME RADICAL
CORRESPONDENCE
CLASSIFICATION
ABELIAN
CLASSES DETERMINED
DETERMINED BY ZERORINGS

This publication has 3 references indexed in Scilit:

Hereditary subradicals of the lower Baer radical
Publicationes Mathematicae Debrecen, 2022
Radicals of abelian groups and associative rings
Acta Mathematica Hungarica, 1973
On the construction of lower radical properties
Pacific Journal of Mathematics, 1969