Anneaux de Bhargava
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Publication:3158294
DOI10.1081/AGB-120039278zbMath1061.13011MaRDI QIDQ3158294
Publication date: 24 January 2005
Published in: Communications in Algebra (Search for Journal in Brave)
Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials in general fields (irreducibility, etc.) (12E05) Polynomials over commutative rings (13B25) Integral domains (13G05)
Related Items (15)
Bhargava’s Early Work: The Genesis of <em>P</em>-Orderings ⋮ What You Should Know About Integer-Valued Polynomials ⋮ Test sets for polynomials: \(n\)-universal subsets and Newton sequences ⋮ Integer-valued polynomials on invariant sets under rotation ⋮ Bhargava rings that are Prüfer v-multiplication domains ⋮ On the Prime Ideal Structure of Bhargava Rings ⋮ Newtonian and Schinzel quadratic fields ⋮ An overview of some recent developments on integer-valued polynomials: Answers and Questions ⋮ Newton and Schinzel sequences in quadratic fields ⋮ On 𝑃-orderings, rings of integer-valued polynomials, and ultrametric analysis ⋮ Simultaneous \(p\)-orderings and minimizing volumes in number fields ⋮ Finite generation properties for various rings of integer-valued polynomials ⋮ Prime ideals of Bhargava domains ⋮ A note on the Krull dimension of rings between \(D[X\) and \(\mathrm{Int}(D)\)] ⋮ Newtonian and Schinzel sequences in a domain
Cites Work
- Construction, sur un anneau de Dedekind, d'une base régulière de polynômes à valeurs entières. (Construction of a regular base of integer valued polynomials over a Dedekind ring)
- On a theorem of R. Gilmer
- Continuous functions on discrete valuation rings
- \(P\)-orderings: A metric viewpoint and the non-existence of simultaneous orderings.
- Interpolation domains
- An Interpolation Series for Continuous Functions of a p-adic Variable.
- P-orderings and polynomial functions on arbitrary subsets of Dedekind rings.
- Polynômes à Valeurs Entières Et Binômes De Fermat
- Topological Rings
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