V2EX noetherian

Noetherian

释义 Definition

Noetherian(诺特的):数学术语,指满足升链条件(ascending chain condition, ACC)的结构,最常见于诺特环(Noetherian ring)、诺特模、以及某些语境下的诺特拓扑空间。直观地说:不会出现“无限严格增大的理想/子结构链”。

发音 Pronunciation (IPA)

/nθrin/

例句 Examples

A Noetherian ring has the ascending chain condition on ideals.
诺特环满足关于理想的升链条件。

In algebraic geometry, many finiteness results rely on schemes being locally Noetherian, which ensures ideals and modules behave in a controllably finite way.
在代数几何中,许多“有限性”结论依赖概形在局部上是诺特的,从而保证理想与模的行为以一种可控的“有限”方式呈现。

词源 Etymology

Noetherian 来自德国数学家 Emmy Noether(埃米诺特) 的姓氏加上形容词后缀 -ian,表示“与某人相关的/属于某学派或概念的”。该词用于纪念她在抽象代数与理想理论方面的奠基性贡献。

相关词 Related Words

文学与著作中的用例 Literary Works

  • Introduction to Commutative Algebra M. F. Atiyah & I. G. Macdonald(讨论诺特环、诺特模等基本概念)
  • Commutative Algebra with a View Toward Algebraic Geometry David Eisenbud(大量使用并发展诺特条件相关理论)
  • Algebra Serge Lang(在环与模章节中系统出现 Noetherian 术语)
  • Algebraic Geometry Robin Hartshorne(广泛出现 locally Noetherian、Noetherian scheme 等表达)
关于     帮助文档     自助推广系统     博客     API     FAQ     Solana     1892 人在线   最高记录 6679       Select Language
创意工作者们的社区
World is powered by solitude
VERSION: 3.9.8.5 7ms UTC 11:35 PVG 19:35 LAX 03:35 JFK 06:35
Do have faith in what you're doing.
ubao msn snddm index pchome yahoo rakuten mypaper meadowduck bidyahoo youbao zxmzxm asda bnvcg cvbfg dfscv mmhjk xxddc yybgb zznbn ccubao uaitu acv GXCV ET GDG YH FG BCVB FJFH CBRE CBC GDG ET54 WRWR RWER WREW WRWER RWER SDG EW SF DSFSF fbbs ubao fhd dfg ewr dg df ewwr ewwr et ruyut utut dfg fgd gdfgt etg dfgt dfgd ert4 gd fgg wr 235 wer3 we vsdf sdf gdf ert xcv sdf rwer hfd dfg cvb rwf afb dfh jgh bmn lgh rty gfds cxv xcv xcs vdas fdf fgd cv sdf tert sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf shasha9178 shasha9178 shasha9178 shasha9178 shasha9178 liflif2 liflif2 liflif2 liflif2 liflif2 liblib3 liblib3 liblib3 liblib3 liblib3 zhazha444 zhazha444 zhazha444 zhazha444 zhazha444 dende5 dende denden denden2 denden21 fenfen9 fenf619 fen619 fenfe9 fe619 sdf sdf sdf sdf sdf zhazh90 zhazh0 zhaa50 zha90 zh590 zho zhoz zhozh zhozho zhozho2 lislis lls95 lili95 lils5 liss9 sdf0ty987 sdft876 sdft9876 sdf09876 sd0t9876 sdf0ty98 sdf0976 sdf0ty986 sdf0ty96 sdf0t76 sdf0876 df0ty98 sf0t876 sd0ty76 sdy76 sdf76 sdf0t76 sdf0ty9 sdf0ty98 sdf0ty987 sdf0ty98 sdf6676 sdf876 sd876 sd876 sdf6 sdf6 sdf9876 sdf0t sdf06 sdf0ty9776 sdf0ty9776 sdf0ty76 sdf8876 sdf0t sd6 sdf06 s688876 sd688 sdf86