Lifting chains of prime ideals
交换代数
2007-05-23 v1
摘要
We give an elementary proof that for a ring homomorphism A -> B, satisfying the property that every ideal in A is contracted from B, the following property holds: for every chain of prime ideals p_0 \subset ... \subset p_r in A there exists a chain of prime ideals q_0 \subset ... \subset q_r in B such that q_i \cap A = p_i.
引用
@article{arxiv.math/0209296,
title = {Lifting chains of prime ideals},
author = {Holger Brenner},
journal= {arXiv preprint arXiv:math/0209296},
year = {2007}
}
备注
to appear in Journal of pure and applied algebra