Some more combinatorics results on Nagata extensions
Commutative Algebra
2015-02-26 v1
Abstract
We show that lengths of ring extensions are preserved under the formation of Nagata extensions as well as Dobbs-Mullins invariant. We exhibit a new condition for the FIP property be preserved under the formation of Nagata extensions by using arithmetic extensions of rings.
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Cite
@article{arxiv.1502.07247,
title = {Some more combinatorics results on Nagata extensions},
author = {Gabriel Picavet and Martine Picavet-L'Hermitte},
journal= {arXiv preprint arXiv:1502.07247},
year = {2015}
}
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23 pages