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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 Agata Smoktunowicz ： ウィキペディア英語版 Agata Smoktunowicz Agata Smoktunowicz FRSE (born 12 October 1973) is a Polish mathematician who works as a professor at the University of Edinburgh. Her research is in abstract algebra.〔(Agata Smoktunowicz ), European Women in Mathematics, retrieved 2014-12-31.〕〔(Currculum vitae ), retrieved 2014-12-31.〕 ==Contributions== Smoktunowicz's contributions to mathematics include constructing noncommutative nil rings, solving a "famous problem" formulated in 1970 by Irving Kaplansky.〔〔. For the attribution to Kaplansky, see .〕 She proved the Artin–Stafford gap conjecture according to which the Gelfand–Kirillov dimension of a graded domain cannot fall within the open interval (2,3).〔〔.〕 She also found an example of a nil ideal of a ring ''R'' that does not lift to a nil ideal of the polynomial ring ''R''(), disproving a conjecture of Amitsur and hinting that the Köthe conjecture might be false.〔.〕〔Lam, T.Y., ''A First Course in Noncommutative Rings'' (2001), p.171.〕〔.〕 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「Agata Smoktunowicz」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.