Polynomial overrings of \(\mathrm{Int}(\mathbb Z)\)

DOI10.1216/JCA-2016-8-1-1zbMath1337.13019arXiv1503.06035MaRDI QIDQ262655

Jean-Luc Chabert, Giulio Peruginelli

Publication date: 30 March 2016

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.06035

zbMATH Keywords

Prüfer domaininteger-valued polynomialsoverring

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Valuation rings (13F30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Rings of fractions and localization for commutative rings (13B30)

Related Items (11)

Properly integral polynomials over the ring of integer-valued polynomials on a matrix ring ⋮ Galois structure on integral valued polynomials ⋮ Adelic versions of the Weierstrass approximation theorem ⋮ Controlling distribution of prime sequences in discretely ordered principal ideal subrings of ℚ[𝕩] ⋮ Transcendental extensions of a valuation domain of rank one ⋮ Polynomial Dedekind domains with finite residue fields of prime characteristic ⋮ Integer-Valued Polynomials on Algebras: A Survey of Recent Results and Open Questions ⋮ Decomposition of integer-valued polynomial algebras ⋮ Non-triviality conditions for integer-valued polynomial rings on algebras ⋮ Unnamed Item ⋮ Integer-valued skew polynomials

Cites Work

• The ring of polynomials integral-valued over a finite set of integral elements
• Sets that determine integer-valued polynomials
• On a theorem of R. Gilmer
• Overrings of Prüfer domains
• Irredundant intersections of valuation rings
• Integral Closure of Rings of Integer-Valued Polynomials on Algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Polynomial overrings of \(\mathrm{Int}(\mathbb Z)\)