翻訳と辞書 Words near each other ・ Weak focusing ・ Weak form and strong form ・ Weak formulation ・ Weak generative capacity ・ Weak gravitational lensing ・ Weak Hausdorff space ・ Weak heap ・ Weak Hopf algebra ・ Weak hypercharge ・ Weak in the Presence of Beauty ・ Weak in the Presence of Beauty (album) ・ Weak in the Presence of Beauty (song) ・ Weak inflection ・ Weak interaction ・ Weak interpretability ・ Weak inverse ・ Weak isospin ・ Weak key ・ Weak localization ・ Weak measurement ・ Weak Moments of the Shadows ・ Weak n-category ・ Weak noun ・ Weak NP-completeness ・ Weak ontology ・ Weak ontology (political concept) ・ Weak operator topology ・ Weak ordering ・ Weak position (poetry) ・ Weak reference 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 Weak inverse ： ウィキペディア英語版 Weak inverse In mathematics, the term weak inverse is used with several meanings. == Theory of semigroups == In the theory of semigroups, a weak inverse of an element ''x'' in a semigroup is an element ''y'' such that . If every element has a weak inverse, the semigroup is called an ''E''-inversive or ''E''-dense semigroup. An ''E''-inversive semigroup may equivalently be defined by requiring that for every element ''x'' ∈ ''S'', there exists ''y'' ∈ ''S'' such that ''xy'' and ''yx'' are idempotents.〔 (preprint )〕 An element ''x'' of ''S'' for which there is an element ''y'' of ''S'' such that is called regular. A regular semigroup is a semigroup in which every element is regular. This is a stronger notion than weak inverse. Every ''E''-inversive semigroup is regular, but not vice versa.〔 If every element ''x'' in ''S'' has a unique inverse ''y'' in ''S'' in the sense that and then ''S'' is called an inverse semigroup. 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「Weak inverse」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.