Title of article
Non-self-injective injective hulls with compatible multiplication
Author/Authors
Victor Camillo، نويسنده , , Ivo Herzog، نويسنده , , Pace P. Nielsen، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
8
From page
471
To page
478
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.
Keywords
Injective hull , Essential extension , Compatible multiplication , Maximal quotient ring
Journal title
Journal of Algebra
Serial Year
2007
Journal title
Journal of Algebra
Record number
698194
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