翻訳と辞書 Words near each other ・ Stabio ・ Stabistor ・ STABL ・ Stable ・ Stable (disambiguation) ・ Stable algorithm ・ Stable bandage ・ Stable belt ・ Stable cell ・ Stable Companions ・ Stable curve ・ Stable distribution ・ Stable equilibrium ・ Stable fly ・ Stable Gallery ・ Stable group ・ Stable hashing ・ Stable homotopy theory ・ Stable Image Platform ・ Stable isotope labeling by amino acids in cell culture ・ Stable isotope ratio ・ Stable Mable ・ Stable manifold ・ Stable manifold theorem ・ Stable map ・ Stable marriage problem ・ Stable Master ・ Stable Mates ・ Stable model category ・ Stable model semantics 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 Stable group ： ウィキペディア英語版 Stable group In model theory, a stable group is a group that is stable in the sense of stability theory. An important class of examples is provided by groups of finite Morley rank (see below). ==Examples== *A group of finite Morley rank is an abstract group ''G'' such that the formula ''x'' = ''x'' has finite Morley rank for the model ''G''. It follows from the definition that the theory of a group of finite Morley rank is ω-stable; therefore groups of finite Morley rank are stable groups. Groups of finite Morley rank behave in certain ways like finite-dimensional objects. The striking similarities between groups of finite Morley rank and finite groups are an object of active research. *All finite groups have finite Morley rank, in fact rank 0. *Algebraic groups over algebraically closed fields have finite Morley rank, equal to their dimension as algebraic sets. * showed that free groups, and more generally torsion free hyperbolic groups, are stable. Free groups on more than one generator are not superstable. 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 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.