翻訳と辞書 Words near each other ・ Orders, decorations, and medals of South Vietnam ・ Orders, decorations, and medals of Spain ・ Orders, decorations, and medals of Swaziland ・ OrderAhead ・ Ordered Bell number ・ Ordered dithering ・ Ordered exponential ・ Ordered field ・ Ordered from the Catalogue ・ Ordered geometry ・ Ordered graph ・ Ordered list ・ Ordered logit ・ Ordered pair ・ Ordered probit ・ Ordered ring ・ Ordered semigroup ・ Ordered set operators ・ Ordered subset expectation maximization ・ Ordered to Die ・ Ordered vector space ・ Ordered weighted averaging aggregation operator ・ Orderic Vitalis ・ Orderliness ・ Orderly ・ Orderly (disambiguation) ・ Orderly Departure Program ・ Orderly marketing arrangement ・ Orderly Medal of the Four Day Marches ・ Orderly or Disorderly Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Ordered ring ： ウィキペディア英語版 Ordered ring In abstract algebra, an ordered ring is a (usually commutative) ring ''R'' with a total order ≤ such that for all ''a'', ''b'', and ''c'' in ''R'':〔 〕 * if ''a'' ≤ ''b'' then ''a'' + ''c'' ≤ ''b'' + ''c''. * if 0 ≤ ''a'' and 0 ≤ ''b'' then 0 ≤ ''ab''. ==Examples== Ordered rings are familiar from arithmetic. Examples include the integers, the rationals and the real numbers.〔 * 〕 (The rationals and reals in fact form ordered fields.) The complex numbers, in contrast, do not form an ordered ring or field, because there is no inherent order relationship between the elements 1 and ''i''. 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「Ordered 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.