# Gorenstein ring

> commutative Noetherian ring such that, at every prime ideal, the localization has finite injective dimension as a module over itself

**Wikidata**: [Q5586177](https://www.wikidata.org/wiki/Q5586177)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Gorenstein_ring)  
**Source**: https://4ort.xyz/entity/gorenstein-ring