翻訳と辞書 Words near each other ・ Subrata Mukherjee ・ Subrata Pal ・ Subrata Roy ・ Subrata Roy Chowdhury ・ Subrata Saha ・ Subrata Sen ・ Subrebinea ・ Subrebinea barrasiana ・ Subregion ・ Subregion (country subdivision) ・ Subregions of Eritrea ・ Subregions of Hungary ・ Subreption ・ Subri Lake ・ Subrina Munroe ・ Subring ・ SubRip ・ Subrius Flavus ・ SubRoc-3D ・ Subrogation ・ SubRosa ・ Subrosa Union ・ Subroto (politician) ・ Subroto Bagchi ・ Subroto Banerjee ・ Subroto Cup ・ Subroto Das ・ Subroto Mukerjee ・ Subroto Porel ・ Subroto Roy 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 Subring ： ウィキペディア英語版 Subring In mathematics, a subring of ''R'' is a subset of a ring that is itself a ring when binary operations of addition and multiplication on ''R'' are restricted to the subset, and which shares the same multiplicative identity as ''R''. For those who define rings without requiring the existence of a multiplicative identity, a subring of ''R'' is just a subset of ''R'' that is a ring for the operations of ''R'' (this does imply it contains the additive identity of ''R''). The latter gives a strictly weaker condition, even for rings that do have a multiplicative identity, so that for instance all ideals become subrings (and they may have a multiplicative identity that differs from the one of ''R''). With definition requiring a multiplicative identity (which is used in this article), the only ideal of ''R'' that is a subring of ''R'' is ''R'' itself. ==Formal definition== A subring of a ring is a subset ''S'' of ''R'' that preserves the structure of the ring, i.e. a ring with . Equivalently, it is both a subgroup of and a submonoid of . 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「Subring」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.