Metrizability of spaces of valuation domains associated to pseudo-convergent sequences
From MaRDI portal
Publication:5879286
DOI10.1142/S0219498823500469MaRDI QIDQ5879286
Giulio Peruginelli, Dario Spirito
Publication date: 28 February 2023
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.13639
Valuations and their generalizations for commutative rings (13A18) Valuation rings (13F30) General valuation theory for fields (12J20)
Cites Work
- Unnamed Item
- Unnamed Item
- 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
- On the polynomial closure in a valued field
- Abstract Riemann surfaces of integral domains and spectral spaces
- Prüfer intersection of valuation domains of a field of rational functions
- Untersuchungen zur arithmetischen Theorie der Körper. (Die Theorie der Teilbarkeit in allgemeinen Körpern. I-III.)
- Extending valuations to the field of rational functions using pseudo-monotone sequences
- Maximal fields with valuations
- Extension d’une valuation
- The Zariski–Riemann space of valuation domains associated to pseudo-convergent sequences
- Transcendental extensions of a valuation domain of rank one
- Prime Ideal Structure in Commutative Rings
- A Construction for Absolute Values in Polynomial Rings
- The compactness of the Riemann manifold of an abstract field of algebraic functions
