翻訳と辞書 Words near each other ・ Cyclic subspace ・ Cyclic succession ・ Cyclic surgery theorem ・ Cyclic symmetry in three dimensions ・ Cyclic voltammetry ・ Cyclic vomiting syndrome ・ Cyclic-guanylate-specific phosphodiesterase ・ Cyclic/collective pitch mixing ・ Cyclica ・ Cyclical alternating pattern ・ Cyclical asymmetry ・ Cyclical industrial dynamics ・ Cyclical tactical asset allocation ・ Cyclical theory ・ Cyclically adjusted price-to-earnings ratio ・ Cyclically ordered group ・ Cyclically reduced word ・ Cyclichthys ・ Cyclichthys orbicularis ・ Cyclida ・ Cyclidalis ・ Cyclidia ・ Cyclidia dictyaria ・ Cyclidia fabiolaria ・ Cyclidia fractifascia ・ Cyclidia javana ・ Cyclidia orciferaria ・ Cyclidia pitmani ・ Cyclidia rectificata ・ Cyclidia sericea 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 Cyclically ordered group ： ウィキペディア英語版 Cyclically ordered group In mathematics, a cyclically ordered group is a set with both a group structure and a cyclic order, such that left and right multiplication both preserve the cyclic order. Cyclically ordered groups were first studied in depth by Ladislav Rieger in 1947. They are a generalization of cyclic groups: the infinite cyclic group and the finite cyclic groups . Since a linear order induces a cyclic order, cyclically ordered groups are also a generalization of linearly ordered groups: the rational numbers , the real numbers , and so on. Some of the most important cyclically ordered groups fall into neither previous category: the circle group and its subgroups, such as the subgroup of rational points. ==Quotients of linear groups== It is natural to depict cyclically ordered groups as quotients: one has and . Even a once-linear group like , when bent into a circle, can be thought of as . showed that this picture is a generic phenomenon. For any ordered group and any central element that generates a cofinal subgroup of , the quotient group is a cyclically ordered group. Moreover, every cyclically ordered group can be expressed as such a quotient 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「Cyclically ordered group」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.