Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4588410 | Journal of Algebra | 2007 | 8 Pages |
Abstract
Let R be a ring, and let S be the injective hull of the right regular module RR. Suppose that S can be made into a ring with multiplication compatible with that of R. Osofsky, in 1964, asked if SS is necessarily injective. We construct examples giving a negative answer to this question, and even construct an infinite chain of such rings.
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Physical Sciences and Engineering
Mathematics
Algebra and Number Theory