翻訳と辞書 Words near each other ・ Pseudo-Nero ・ Pseudo-nitzschia ・ Pseudo-octave ・ Pseudo-operation ・ Pseudo-order ・ Pseudo-oxocarbon anion ・ Pseudo-penis ・ Pseudo-Philo ・ Pseudo-Phocylides ・ Pseudo-photograph ・ Pseudo-Plutarch ・ Pseudo-polynomial time ・ Pseudo-random number sampling ・ Pseudo-reductive group ・ Pseudo-Riemannian manifold ・ Pseudo-ring ・ Pseudo-runes ・ Pseudo-scholarship ・ Pseudo-Scymnus ・ Pseudo-secularism ・ Pseudo-Seneca ・ Pseudo-Simon ・ Pseudo-Sophronius ・ Pseudo-spectral method ・ Pseudo-squeeze ・ Pseudo-Tertullian ・ Pseudo-top-level domain ・ Pseudo-transparency ・ Pseudo-uniform polyhedron ・ Pseudo-warm front 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 Pseudo-ring ： ウィキペディア英語版 Pseudo-ring In mathematics, and more specifically in abstract algebra, a pseudo-ring is one of the following variants of a ring: * A rng, i.e., a structure satisfying all the axioms of a ring except for the existence of a multiplicative identity. * A set ''R'' with two binary operations + and · such that (''R'',+) is an abelian group with identity 0, and $a(b+c)\; +\; a0\; =ab\; +ac$ and $(b+c)a\; +0a=ba+ca$ for all ''a'', ''b'', ''c'' in ''R''. * An abelian group (''A'',+) equipped with a subgroup ''B'' and a multiplication ''B'' × ''A'' → ''A'' making ''B'' a ring and ''A'' a ''B''-module. No two of these definitions are equivalent, so it is best to avoid the term "pseudo-ring" or to clarify which meaning is intended. == See also == * Semiring – an algebraic structure similar to a ring, but without the requirement that each element must have an additive inverse 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「Pseudo-ring」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.