# splitting lemma

> lemma that, in an Abelian category, a short exact sequence, one of whose two morphisms admits a section or retraction into the middle term, is a direct sum

**Wikidata**: [Q2757856](https://www.wikidata.org/wiki/Q2757856)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Splitting_lemma)  
**Source**: https://4ort.xyz/entity/splitting-lemma