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Subdirectly Irreducible DQC Rings

Published online by Cambridge University Press:  20 November 2018

W. Burgess  and
M. Chacron
W. Burgess
Affiliation:
University of Ottawa, Ottawa, Ontario
M. Chacron
Affiliation:
Carleton University, Ottawa, Ontario
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Abstract

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Twenty-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.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 14 , Issue 4 , December 1971 , pp. 495 - 498
Copyright
Copyright © Canadian Mathematical Society 1971

References

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