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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 Stable range condition ： ウィキペディア英語版 Stable range condition in algebra, the stable range of a ring ''R'' is the smallest integer ''n'' such that if elements $v\_0,\; \backslash dots,\; v\_n$ in ''R'' generate the unit ideal (they form a unimodular row), then for some $t\_1,\; \backslash dots,\; t\_n$ in ''R'' the elements $v\_i\; -\; v\_0\; t\_i,\; \backslash ,\; 1\; \backslash le\; i\; \backslash le\; n$ also generate the unit ideal.〔NB: this is a definition from Weibel's book and less than Bass's stable range by one.〕 If ''R'' is a commutative Noetherian ring of Krull dimension ''d'', then the stable range of ''R'' is at most $d+1$ (a theorem of Bass). == References == *Charles Weibel, (The K-book: An introduction to algebraic K-theory ) 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「Stable range condition」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.