On truncations of valuations

DOI10.1016/j.jpaa.2021.106965zbMath1484.13009arXiv2104.08609OpenAlexW3215822825MaRDI QIDQ2069815

J. A. Novacoski, C. H. Silva de Souza

Publication date: 21 January 2022

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.08609

zbMATH Keywords

graded algebrasminimal pairsKey polynomialstruncations of valuations

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Valuation rings (13F30) Transcendental field extensions (12F20)

Related Items (3)

Valuation-transcendental extensions and pseudo-monotone sequences ⋮ Graded rings associated to valuations and direct limits ⋮ Abstract key polynomials and distinguished pairs

Cites Work

• Unnamed Item
• Unnamed Item
• A theorem of characterization of residual transcendental extensions of a valuation
• Minimal pairs of definition of a residual transcendental extension of a valuation
• All valuations on K(X)
• Key polynomials and pseudo-convergent sequences
• Key polynomials and minimal pairs
• Minimal pairs, truncations and diskoids
• On MacLane-Vaquié key polynomials
• On common extensions of valued fields
• MacLane-Vaquié chains of valuations on a polynomial ring
• Value groups, residue fields, and bad places of rational function fields
• Valued Fields

This page was built for publication: On truncations of valuations