 ##  [Snake Lemma](/snake-lemma) 

  ##  [Snake Lemma](https://mathlogic.quantumdictionary.io/snake-lemma-0) 

  
 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

An exact-sequence technique in homological algebra that, given a commutative diagram of short exact sequences, produces a long exact sequence relating kernels and cokernels (or homology groups) via a connecting homomorphism constructed by a diagram chase.

 
 ##  [Snake Lemma](https://algebra.quantumdictionary.io/snake-lemma-1) 

  
 [![Algebra](/sites/default/files/styles/large/public/2026-01/Algebra.png.webp?itok=3pHxBnUF)](/topic-specific-dictionaries/pure-mathematics/algebra)

- Pure Mathematics -

**Algebra Dictionary**

 
Definition

A diagram-chasing result which, from a commutative diagram of two exact rows and a column of maps, produces a canonical long exact sequence connecting kernels and cokernels, including a connecting homomorphism often denoted δ.