Hilbert rings of integral-valued polynomials

DOI10.1080/00927877508822087zbMath0318.13009OpenAlexW1998190211MaRDI QIDQ4079721

Demetrios Brizolis

Publication date: 1975

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927877508822087

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials in number theory (11C08) Polynomials over commutative rings (13B25) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Ramification problems in algebraic geometry (14E22) Relevant commutative algebra (14A05)

Related Items (13)

On ideals in Prüfer domains of polynomials ⋮ On the Stone-Weierstrass theorem in commutative algebra ⋮ Idéaux de polynômes et idéaux de valeurs. (Polynomial ideals and value ideals) ⋮ The Skolem closure as a semistar operation ⋮ A theorem on ideals in prüfer rings of integral-valued polynomials ⋮ On the coefficients and values of polynomial rings ⋮ Anneaux de Skolem ⋮ Le Nullstellensatz de Hilbert et les polynômes à valeurs entières ⋮ Rings of integer-valued rational functions ⋮ Skolem properties, value-functions, and divisorial ideals ⋮ Finitely generated ideals of the ring of integer-valued polynomials ⋮ Divisorial prime ideals of int(D) when D is a krull-type domain ⋮ Generating ideals in rings of integer-valued polynomials

Cites Work

• Unnamed Item
• Hilbert subalgebras of finitely generated algebras

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