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On Maximal Torsion Radicals

Published online by Cambridge University Press:  20 November 2018

John A. Beachy
John A. Beachy*
Affiliation:
Northern Illinois University, DeKalb, Illinois
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Let R be an associative ring with identity, and let denote the category of unital left R-modules. It is known that if R is a commutative, Noetherian ring, then the maximal torsion radicals of correspond to the minimal prime ideals of R. In fact, Nӑstӑsescu and Popescu [15, Proposition 2.7] have given a more general result valid for arbitrary commutative rings. This paper investigates maximal torsion radicals over rings not necessarily commutative.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 4 , August 1973 , pp. 712 - 726
Copyright
Copyright © Canadian Mathematical Society 1973

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