English

MacLane-Vaqui\'e chains and Valuation-Transcendental Extensions

Commutative Algebra 2022-09-27 v1

Abstract

In this paper, for a valued field (K,v)(K, v) of arbitrary rank and an extension ww of vv to K(X),K(X), we give a connection between complete sets of ABKPs for ww and MacLane-Vaqui\'e chains of w.w.

Keywords

Cite

@article{arxiv.2209.12055,
  title  = {MacLane-Vaqui\'e chains and Valuation-Transcendental Extensions},
  author = {Sneha Mavi and Anuj Bishnoi},
  journal= {arXiv preprint arXiv:2209.12055},
  year   = {2022}
}

Comments

To appear in Journal of Commutative Algebra. arXiv admin note: substantial text overlap with arXiv:2204.06428, arXiv:2207.07892

R2 v1 2026-06-28T02:01:36.298Z