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On the Annihilators of the Injective Hull of a Module

Published online by Cambridge University Press:  20 November 2018

Kwangil Koh
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In [2, page 151], J. Lambek proposes the following exercise: With any maximal right ideal M of a ring R with 1 associate the ideal . Show that OM, is the right annihilator of the injective hull of the right R-module R/M. The purpose of this note is to show that the above statement is true for a much larger class of right ideals than that of maximal regular right ideals of a ring.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 12 , Issue 6 , December 1969 , pp. 858 - 860
Copyright
Copyright © Canadian Mathematical Society 1969

References

1. Koh, K. and Mewborn, A. C., A class of prime rings. Canad. Math. Bull. 9 (1966) 63–72.Google Scholar
2. Lambek, J., Lectures on rings and modules. (Ginn-Blaisdell, 1966.)Google Scholar