The polynomial closure is not topological
Commutative Algebra
2022-05-18 v2
Abstract
We characterize the polynomial closure of a pseudo-convergent sequence in a valuation domain of arbitrary rank, and then we use this result to show that the polynomial closure is never topological when has rank at least .
Cite
@article{arxiv.2107.02552,
title = {The polynomial closure is not topological},
author = {Giulio Peruginelli and Dario Spirito},
journal= {arXiv preprint arXiv:2107.02552},
year = {2022}
}
Comments
to appear in the Journal of Pure and Applied Algebra