A note on pairs of rings with same prime ideals
Commutative Algebra
2020-05-13 v1
Abstract
We study the ring extensions R \subseteq T having the same set of prime ideals provided Nil(R) is a divided prime ideal. Some conditions are given under which no such T exist properly containing R. Using idealization theory, the examples are also discussed to strengthen the results.
Cite
@article{arxiv.2005.05959,
title = {A note on pairs of rings with same prime ideals},
author = {Rahul Kumar and Atul Gaur},
journal= {arXiv preprint arXiv:2005.05959},
year = {2020}
}
Comments
10 pages