Lifting chains of prime ideals

Details Lifting chains of prime ideals Lifting chains of prime ideals

2002-09-23

arxiv.org/abs/math/0209296v1

J. Pure Appl. Algebra 179 (2003), 1 - 5.

Mathematics

Commutative Algebra

to appear in Journal of pure and applied algebra

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Lifting chains of prime ideals does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Lifting chains of prime ideals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lifting chains of prime ideals will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-577003