Non-self-injective injective hulls with compatible multiplication

JOURNAL OF ALGEBRA

卷:314

Article

Camillo, Victor ; Herzog, Ivo ; Nielsen, Pace P.

关键词: injective hull;    essential extension;    compatible multiplication;    maximal quotient ring;   

DOI  :  10.1016/j.jalgebra.2007.03.016

来源: Elsevier

【 摘 要 】

Let R be a ring, and let S be the injective hull of the right regular module R-R. Suppose that S can be made into a ring with multiplication compatible with that of R. Osofsky, in 1964, asked if S-S is necessarily injective. We construct examples giving a negative answer to this question, and even construct an infinite chain of such rings. (c) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free