翻訳と辞書 Words near each other ・ Hilda Lewis ・ Hilda Leyel ・ Hilda Lindley ・ Hilda Lindley House ・ Hilbert's nineteenth problem ・ Hilbert's ninth problem ・ Hilbert's Nullstellensatz ・ Hilbert's paradox of the Grand Hotel ・ Hilbert's problems ・ Hilbert's program ・ Hilbert's second problem ・ Hilbert's seventeenth problem ・ Hilbert's seventh problem ・ Hilbert's sixteenth problem ・ Hilbert's sixth problem ・ Hilbert's syzygy theorem ・ Hilbert's tenth problem ・ Hilbert's theorem ・ Hilbert's theorem (differential geometry) ・ Hilbert's Theorem 90 ・ Hilbert's third problem ・ Hilbert's thirteenth problem ・ Hilbert's twelfth problem ・ Hilbert's twentieth problem ・ Hilbert's twenty-first problem ・ Hilbert's twenty-fourth problem ・ Hilbert's twenty-second problem ・ Hilbert's twenty-third problem ・ Hilbert, West Virginia ・ Hilbert, Wisconsin 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 Hilbert's syzygy theorem ： ウィキペディア英語版 Hilbert's syzygy theorem In mathematics, Hilbert's syzygy theorem is a result of commutative algebra, first proved by David Hilbert (1890) in connection with the syzygy (relation) problem of invariant theory. Roughly speaking, starting with relations between polynomial invariants, then relations between the relations, and so on, it explains ''how far'' one has to go to reach a clarified situation. It is now considered to be an early result of homological algebra, and through the depth concept, to be a measure of the non-singularity of affine space. == Formal statement == In modern language, the theorem may be stated as follows. Let ''k'' be a field and ''M'' a finitely generated module over the polynomial ring :$k().$ Hilbert's syzygy theorem then states that there exists a free resolution of ''M'' of length at most ''n''. 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「Hilbert's syzygy theorem」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.