科研之友
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摘要
We provide a negative answer to a question raised by Jain and Alahmadi asking for a possible "Baer-like" criterion for almost injective modules. It is shown that there exists an R-module M which is almost injective relative to R but not almost injective. This is obtained by using our theorem: If every simple R-module is almost injective then every cocyclic module of length 2 is injective.
- 出版日期2015-9
