Let $R$ be a ring, and let $M$ be an $R$ -module. We say that $M$ is a simple or irreducible module if it contains no submodules other than itself and the zero module.
Typically, by convention, the zero module is not itself considered simple.
This is version 3 of simple module, born on 2001-11-24, modified 2005-09-26.
Object id is 1003, canonical name is SimpleModule.
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