# double centralizer theoremの例文

- The
*double centralizer theorems* give conditions under which one can conclude that equality occurs. - In this terminology, the Artinian ring version of the
*double centralizer theorem* states that simple right modules for right Artinian rings are balanced modules. - In the language of centralizers, a balanced module is one satisfying the conclusion of the
*double centralizer theorem*, that is, the only endomorphisms of the group " M " commuting with all the " R " endomorphisms of " M " are the ones induced by right multiplication by ring elements.