In algebra, a Hilbert ring or a Jacobson ring is a ring such that every prime ideal is an intersection of primitive ideals. For commutative rings primitive ... Jacobson rings and the... · Examples · Characterizations

Definition 10.35.1. Let R be a ring. We say that R is a Jacobson ring if every radical ideal I is the intersection of the maximal ideals containing it.

The purpose of this note is to develop the elementary theory of Jacobson rings without recourse to Noether's normalization lemma (in contrast to the ...

6 дек. 2013 г. · A ring is called a Jacobson ring if the nilradical coincides with the Jacobson radical. Here the word "ring" means a commutative ring. Primes in a (commutative) Jacobson ring - MathOverflow Can you constructively prove a univariate polynomial algebra ... Do commutative rings with "interesting" Jacobson radicals turn ... Is the product of Jacobson rings a Jacobson ring? - MathOverflow Другие результаты с сайта mathoverflow.net

10 июн. 2013 г. · EDIT: We define a ring to be Jacobson if every prime ideal is an intersection of maximal ideals. commutative-algebra ... If $A$ is a Jacobson ring, so is $A[X] $K[[x]]$ is not a Jacobson ring - Math Stack Exchange Noetherian Jacobson rings - Mathematics Stack Exchange Quotient of Jacobson ring is Jacobson as in Eisenbud Другие результаты с сайта math.stackexchange.com

23 июл. 2024 г. · A Jacobson ring is a commutative (unital) ring whose every prime ideal is an intersection of the maximal ideals which contain it.

R[X] is the polynomial ring over R in an indeterminate X. A ring R is said to be a Jacobson ring if every prime ideal of R is an intersection of primitive.

a ring R is jacobson if the jacobson radical equals the nil radical in any homomorphic image of R. This includes the identity map, hence jac(R) = nil(R).

A prime ideal P ⊂ R is an Goldman ideal if. R/P is a Goldman domain. (1.4) Definition A commutative ring R is said to be a Jacobson ring if every Goldman prime.