Abstract
AbstractTwenty-five years ago McCoy published a characterization of commutative subdirectly irreducible rings. This result was generalized by Thierrin to duo rings with the word “field” which appeared in McCoy's theorem replaced by “division ring”. The purpose of this note is to give another generalization in which the words “division ring” will be replaced by “simple ring with 1 ”. The techniques resemble those of McCoy and Thierrin.
Publisher
Canadian Mathematical Society
Cited by
3 articles.
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1. Associative rings;Journal of Soviet Mathematics;1980-07
2. Ringe mit dichtem Quasizentrum;Archiv der Mathematik;1977-12
3. An algebraic dependence over the quasi-centre;Annali di Matematica Pura ed Applicata;1976-12