Exact sequence

Sequence of homomorphisms such that each kernel equals the preceding image

Exact sequence

Summary

In mathematics, an exact sequence is a sequence of morphisms between objects such that the image of one morphism equals the kernel of the next.

Originally created by 128.2.20.111

10/25/2002, 8:26:39 PM

Modified

5/2/2026, 3:20:53 PM

Recent revisions

D.Lazard5/2/2026, 3:20:53 PM

Reverted 2 edits by [[Special:Contributions/~2026-26643-51|~2026-26643-51]] ([[User talk:~2026-26643-51|talk]]): Correct, but misplaced here, especially without explanation

~2026-26643-515/2/2026, 9:48:12 AM

/* Intersection and sum of modules */

~2026-26643-515/2/2026, 9:47:21 AM

/* Intersection and sum of modules */

Lunatheangel1/25/2026, 4:32:08 PM

updated formatting to use more latex

JoaoFrancisco18121/15/2026, 9:48:33 PM

/* Integers modulo two */added links

AnonymousRand10/30/2025, 5:13:37 AM

remove broken/repeated links

Lp0 on fire10/8/2025, 6:27:50 AM

/* Definition */Mistake in link

Lp0 on fire10/7/2025, 3:52:57 PM

Mistake in last edit

Lp0 on fire10/7/2025, 3:51:42 PM

/* Definition */Cleanup

Lp0 on fire10/7/2025, 3:40:21 PM

Fixed links to wrong articles

D.Lazard8/21/2025, 4:57:51 PM

Reverted 3 edits by [[Special:Contributions/Blush30720|Blush30720]] ([[User talk:Blush30720|talk]]): Forbidden insertion of blank lines between items of a list; paragraph breaks in the middle of a sentence; unexplained change of paragraph structue

Blush307208/21/2025, 4:47:18 PM

Add non-printing newlines; add a few italics

Blush307208/21/2025, 4:36:39 PM

Edit <math> block. Mostly non-visual

Blush307208/21/2025, 4:34:24 PM

Edit [[File:...]] format. on-visual edit

Matěj Grabovský7/20/2025, 8:05:31 PM

/* Applications of exact sequences */ fix typo in heading

Gramix137/12/2025, 2:12:53 AM

Splitting example of de Rahm Complex as an exact sequence from [[Kernel (algebra)]]

Jayy V12/30/2024, 10:13:13 PM

added "In mathematics," to lede

Darcourse9/24/2024, 10:48:26 AM

/* Long exact sequence */

Darcourse9/24/2024, 10:47:55 AM

/* Long exact sequence */

Darcourse9/24/2024, 10:47:32 AM

/* Long exact sequence */

Contributors

Source: WikipediaView full article