Integer-valued polynomials over matrices and divided differences

DOI10.1007/s00605-013-0519-9zbMath1291.13036arXiv1301.6332OpenAlexW3100681347MaRDI QIDQ2447937

Giulio Peruginelli

Publication date: 29 April 2014

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.6332

zbMATH Keywords

divided differencestriangular matricesintegral-valued polynomialsmatrices over domains

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Integral domains (13G05) Matrices, determinants in number theory (11C20)

Related Items (13)

Properly integral polynomials over the ring of integer-valued polynomials on a matrix ring ⋮ Galois structure on integral valued polynomials ⋮ Polynomial functions on upper triangular matrix algebras ⋮ Integral Closure of Rings of Integer-Valued Polynomials on Algebras ⋮ Open Problems in Commutative Ring Theory ⋮ Some results on the integer-valued polynomials over matrix rings ⋮ Int-decomposable algebras ⋮ 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 ⋮ A survey on fixed divisors ⋮ Null ideals of matrices over residue class rings of principal ideal domains ⋮ The ring of polynomials integral-valued over a finite set of integral elements

Cites Work

• Generalized rings of integer-valued polynomials
• Integer valued polynomials on lower triangular integer matrices
• Integer-valued polynomials on algebras
• Contracted ideals with respect to integral extensions
• Integral-valued polynomials over sets of algebraic integers of bounded degree
• On 𝑃-orderings, rings of integer-valued polynomials, and ultrametric analysis

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