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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 Invertible module ： ウィキペディア英語版 Invertible module In mathematics, particularly commutative algebra, an invertible module is intuitively a module that has an inverse with respect to the tensor product. Invertible modules form the foundation for the definition of invertible sheaves in algebraic geometry. Formally, a finitely generated module ''M'' over a ring ''R'' is said to be invertible if it is locally a free module of rank 1. In other words $M\_P\backslash cong\; R\_P$ for all primes ''P'' of ''R''. Now, if ''M'' is an invertible ''R''-module, then its dual is its inverse with respect to the tensor product, i.e. $M\backslash otimes\; \_R\; M^$ *\cong R. The theory of invertible modules is closely related to the theory of codimension one varieties including the theory of divisors. ==See also== * Picard group 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「Invertible 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.