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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 Square-free element ： ウィキペディア英語版 Square-free element In mathematics, a square-free element is an element ''r'' of a unique factorization domain ''R'' that is not divisible by a non-trivial square. This means that every ''s'' such that $s^2\backslash mid\; r$ is a unit of ''R''. ==Alternate characterizaions== Square-free elements may be also characterized using their prime decomposition. The unique factorization property means that a non-zero non-unit ''r'' can be represented as a product of prime elements :$r=p\_1p\_2\backslash cdots\; p\_n$ Then ''r'' is square-free if and only if the primes ''pi'' are pairwise non-associated (i.e. that it doesn't have two of the same prime as factors, which would make it divisible by a square number). 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「Square-free element」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.