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double centralizer theorem
In the branch of abstract algebra called ring theory, the double centralizer theorem can refer to any one of several similar results. These results concern the centralizer of a subring ''S'' of a ring ''R'', denoted C''R''(''S'') in this article. It is always the case that C''R''(C''R''(''S'')) contains ''S'', and a double centralizer theorem gives conditions on ''R'' and ''S'' that guarantee that C''R''(C''R''(''S'')) is ''equal'' to ''S''.
==Statements of the theorem==
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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