$P$-orderings of noncommutative rings

DOI10.1090/S0002-9939-2015-12377-5zbMath1331.16016OpenAlexW1996838249MaRDI QIDQ5255235

Keith Johnson

Publication date: 12 June 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2015-12377-5

zbMATH Keywords

local fieldspolynomial ringsdivision algebrasmaximal orderspolynomial idealsinteger-valued polynomialsregular bases

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials in number theory (11C08) Orders in separable algebras (16H10)

Related Items (8)

Properly integral polynomials over the ring of integer-valued polynomials on a matrix ring ⋮ The valuative capacity of the set of sums of \(d\)-th powers ⋮ Algebraic-integer valued polynomials ⋮ Bhargava’s Early Work: The Genesis of <em>P</em>-Orderings ⋮ The Ring of Integer-Valued Polynomials on 3 × 3 Matrices and Its Integral Closure ⋮ The ring of integer valued polynomials on \(2 \times 2\) matrices and its integral closure ⋮ Integer-Valued Polynomials on Algebras: A Survey of Recent Results and Open Questions ⋮ Integer-valued skew polynomials

Cites Work

• Unnamed Item
• Integer-valued polynomials over quaternion rings.
• \(P\)-orderings of finite subsets of Dedekind domains
• Limits of characteristic sequences of integer-valued polynomials on homogeneous sets
• A general theory of Vandermonde matrices
• Generalized factorials and fixed divisors over subsets of a Dedekind domain
• Wedderburn polynomials over division rings. I.
• Integer-Valued Polynomials
• Wedderburn polynomials over division rings, II
• P-orderings and polynomial functions on arbitrary subsets of Dedekind rings.

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