Article ID Journal Published Year Pages File Type
4588410 Journal of Algebra 2007 8 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory