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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Principal indecomposable module ： ウィキペディア英語版 Principal indecomposable module In mathematics, especially in the area of abstract algebra known as module theory, a principal indecomposable module has many important relations to the study of a ring's modules, especially its simple modules, projective modules, and indecomposable modules. == Definition == A (left) principal indecomposable module of a ring ''R'' is a (left) submodule of ''R'' that is a direct summand of ''R'' and is an indecomposable module. Alternatively, it is an indecomposable, projective, cyclic module. Principal indecomposable modules are also called PIMs for short. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Principal indecomposable module」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.