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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 Almost ring ： ウィキペディア英語版 Almost ring In mathematics, almost rings are the analogues of commutative rings in the "almost mathematics" introduced by in his study of ''p''-adic Hodge theory. Roughly speaking, the word "almost" means "ignore ''m''-torsion for a certain idempotent ideal ''m''". ==Definition== Suppose that ''V'' is a ring and ''m'' an ideal such that ''m''2 = ''m'' and ''m'' ⊗ ''m'' is a flat ''V''-module. An almost ''V'' module is an element of the category of ''V''-modules modulo the full subcategory of modules killed by ''m''; these form a tensor abelian category. An almost ring (or more precisely an almost ''V''-algebra) is an almost ''V''-module with a bilinear multiplication map satisfying some conditions similar to the axioms for a ring. 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「Almost ring」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.