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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 Glossary of field theory ： ウィキペディア英語版 Glossary of field theory Field theory is the branch of mathematics in which fields are studied. This is a glossary of some terms of the subject. (See field theory (physics) for the unrelated field theories in physics.) ==Definition of a field== A field is a commutative ring (''F'',+, *) in which 0≠1 and every nonzero element has a multiplicative inverse. In a field we thus can perform the operations addition, subtraction, multiplication, and division. The non-zero elements of a field ''F'' form an abelian group under multiplication; this group is typically denoted by ''F''×; The ring of polynomials in the variable ''x'' with coefficients in ''F'' is denoted by ''F''(). 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「Glossary of field theory」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.