Abstract
It is wellknown that the Jacobson radical of a unital ring R is the largest superfluous right ideal of R. While a simple example shows this to be false for nonunital rings, it is shown that the result remains valid in the absence of a unit provided the notion of "superfluous" is taken relative to all regular right ideals. The purpose of this note is to provide a proof for this littleknown fact.
Original language  English 

Pages (fromto)  47404742 
Number of pages  3 
Journal  Communications in Algebra 
Volume  47 
Issue number  11 
Early online date  13 Apr 2019 
DOIs  
Publication status  Published  2019 
ASJC Scopus subject areas
 Mathematics(all)
 Algebra and Number Theory
Fingerprint Dive into the research topics of 'A "quite superfluous" characterization of the Jacobson radical of an associative ring'. Together they form a unique fingerprint.
Profiles

Thomas Huettemann
 School of Mathematics and Physics  Senior Lecturer
 Mathematical Sciences Research Centre
Person: Academic