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.