V2EX commutative diagram

Commutative Diagram

释义 Definition

commutative diagram可交换图/交换图。指数学中用箭头表示对象与映射的图表;如果从同一出发点到同一终点的不同路径所表示的复合映射结果相同,就称该图可交换(“所有路径等价”)。

发音 Pronunciation (IPA)

/kmjuttv darm/

例句 Examples

A commutative diagram helps me check that two compositions give the same result.
可交换图帮助我检查两种复合映射是否得到同一个结果。

In category theory, many definitions are expressed by requiring a certain commutative diagram to commute.
在范畴论中,许多定义都通过要求某个可交换图“可交换”来表达。

词源 Etymology

commutative 来自拉丁语 commutare(“交换、互换、改变”),在数学里常指“交换律成立”(如 \(ab=ba\))。diagram 来自希腊语 diagramma(“图形、示意图”)。合在一起就表示“用图来表达并检验交换性/一致性的示意结构”。

相关词 Related Words

文学与典籍 Literary Works

  • Categories for the Working Mathematician(Saunders Mac Lane)
  • Sheaves in Geometry and Logic(Mac Lane & Moerdijk)
  • Homological Algebra(Joseph J. Rotman;以及 Charles A. Weibel 的 An Introduction to Homological Algebra
  • Algebra(Serge Lang)
  • Higher Topos Theory(Jacob Lurie)
关于     帮助文档     自助推广系统     博客     API     FAQ     Solana     953 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 35ms UTC 21:57 PVG 05:57 LAX 14:57 JFK 17:57
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