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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 Primary extension ： ウィキペディア英語版 Primary extension In field theory, a branch of algebra, a primary extension ''L'' of ''K'' is a field extension such that the algebraic closure of ''K'' in ''L'' is purely inseparable over ''K''.〔Fried & Jarden (2008) p.44〕 ==Properties== * An extension ''L''/''K'' is primary if and only if it is linearly disjoint from the separable closure of ''K'' over ''K''.〔 * A subextension of a primary extension is primary.〔 * A primary extension of a primary extension is primary (transitivity).〔 * Any extension of a separably closed field is primary.〔 * An extension is regular if and only if it is separable and primary.〔 * A primary extension of a perfect field is regular. 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「Primary extension」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.