# Albert–Brauer–Hasse–Noether theorem

> central simple algebras over algebraic number fields that split over completions are matrix algebras

**Wikidata**: [Q4712316](https://www.wikidata.org/wiki/Q4712316)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Albert–Brauer–Hasse–Noether_theorem)  
**Source**: https://4ort.xyz/entity/albert-brauer-hasse-noether-theorem