English

Valuations with infinite limit-depth

Commutative Algebra 2022-04-08 v1

Abstract

For a certain field KK, we construct a valuation-algebraic valuation on the polynomial ring K[x]K[x], whose Maclane--Vaqui\'e chain consists of an infinite (countable) number of limit augmentations

Keywords

Cite

@article{arxiv.2204.03365,
  title  = {Valuations with infinite limit-depth},
  author = {Maria Alberich-Carramiñana and Jordi Guàrdia and Enric Nart and Joaquim Roé},
  journal= {arXiv preprint arXiv:2204.03365},
  year   = {2022}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2107.09813

R2 v1 2026-06-24T10:41:02.548Z