nLab Jacobson ring


A Jacobson ring is a commutative (unital) ring whose every prime ideal is an intersection of the maximal ideals which contain it.

Equivalently, every radical ideal is an intersection of maximal ideals. Equivalently, the Zariski topology on its spectrum is a Jacobson topology?.


category: algebra

Last revised on August 22, 2022 at 16:58:41. See the history of this page for a list of all contributions to it.