Geodesic
On the Annihilators of the Injective Hull of a Module
Canadian mathematical bulletin, Tome 12 (1969) no. 6, pp. 858-860

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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. 
On the Annihilators of the Injective Hull of a Module. Canadian mathematical bulletin, Tome 12 (1969) no. 6, pp. 858-860. doi: 10.4153/CMB-1969-111-8
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     journal = {Canadian mathematical bulletin},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-111-8/}
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