V2EX exact sequence

Exact Sequence

定义 Definition

exact sequence(数学/代数学、代数拓扑常用):指一串依次连接的映射(通常是群、模、向量空间之间的同态),满足在每个位置上“前一个映射的像 = 后一个映射的核”,用来精确描述结构之间的关系。常见的特例有 short exact sequence(短正合列)

发音 Pronunciation (IPA)

/zkt sikwns/

例句 Examples

An exact sequence helps us track how algebraic structures fit together.
正合列帮助我们追踪代数结构如何拼接在一起。

Using the long exact sequence in homology, we can compute the homology groups of a space from a pair and the connecting homomorphism.
利用同调中的长正合列,我们可以通过空间对以及连接同态来计算该空间的同调群。

词源 Etymology

exact 来自拉丁语 exactus,有“精确的、严格的”之意;sequence 来自拉丁语 sequentia,意为“连续的序列”。在数学里,“exact”强调一种严格条件:每一步得到的信息与下一步的“缺口”(核)恰好吻合,因此译作“正合”。

相关词 Related Words

文学与名著中的用例 Literary Works

  • Homological Algebra(Cartan & Eilenberg)
  • An Introduction to Homological Algebra(Joseph J. Rotman)
  • Algebra(Serge Lang)
  • Categories for the Working Mathematician(Saunders Mac Lane)
  • Algebraic Topology(Allen Hatcher)
About     Help     Advertise     Blog     API     FAQ     Solana     843 Online   Highest 6679       Select Language
创意工作者们的社区
World is powered by solitude
VERSION: 3.9.8.5 36ms UTC 21:23 PVG 05:23 LAX 14:23 JFK 17:23
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