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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 Tate algebra ： ウィキペディア英語版 Tate algebra In rigid analysis, a branch of mathematics, the Tate algebra over a complete ultrametric field ''k'', named for John Tate, is the subring ''R'' of the formal power series ring $kt\_1,\; ...,\; t\_n$ consisting of $\backslash sum\; a\_I\; t^I$ such that $|a\_I|\; \backslash to\; 0$ as $I\; \backslash to\; \backslash infty$. The maximal spectrum of ''R'' is then a rigid-analytic space. Define the Gauss norm of $f\; =\; \backslash sum\; a\_I\; t^I$ in ''R'' by :$\backslash |f\backslash |\; =\; \backslash max\_I\; |a\_I|$ This makes ''R'' a Banach ''k''-algebra. == References == *http://math.stanford.edu/~conrad/papers/aws.pdf *http://www-math.mit.edu/~kedlaya/18.727/tate-algebras.pdf 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「Tate algebra」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.