Polynomial Dedekind domains with finite residue fields of prime characteristic

DOI10.2140/pjm.2023.324.333zbMath1522.13031arXiv2207.04280OpenAlexW4385290031MaRDI QIDQ6165155

Giulio Peruginelli

Publication date: 31 July 2023

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.04280

zbMATH Keywords

class groupinteger-valued polynomial(polynomial) Dedekind domain

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Abelian groups (20K99)

Related Items (1)

On Dedekind domains whose class groups are direct sums of cyclic groups

Cites Work

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• Polynomial overrings of \(\mathrm{Int}(\mathbb Z)\)
• Corrigendum to ``Integer-valued polynomials on algebras [J. Algebra 373 (2013) 414-425]
• Generalized rings of integer-valued polynomials
• Non-triviality conditions for integer-valued polynomial rings on algebras
• On a theorem of R. Gilmer
• Prüfer intersection of valuation domains of a field of rational functions
• Integer-valued polynomials on algebras
• Adelic versions of the Weierstrass approximation theorem
• Irredundant intersections of valuation rings
• Every Abelian group is a class group
• Integer-Valued Polynomials
• Quasi-Euclidean subrings of ℚ[x]
• More Noneuclidian PID's and Dedekind Domains with Prescribed Class Group
• The Ring of Integer-Valued Polynomials of a Dedekind Domain
• Transcendental extensions of a valuation domain of rank one
• Controlling distribution of prime sequences in discretely ordered principal ideal subrings of ℚ[𝕩]
• On Dedekind domains whose class groups are direct sums of cyclic groups

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