Commutative rings with finite quotient fields
Commutative Algebra
2009-03-17 v1
Abstract
We consider the class of all commutative reduced rings for which there exists a finite subset T of A such that all projections on quotients by prime ideals of A are surjective when restricted to T. A complete structure theorem is given for this class of rings, and it is studied its relation with other finiteness conditions on the quotients of a ring over its prime ideals.
Cite
@article{arxiv.0903.2566,
title = {Commutative rings with finite quotient fields},
author = {Antonio Avilés},
journal= {arXiv preprint arXiv:0903.2566},
year = {2009}
}