Split Quaternions and Integer-valued Polynomials

DOI10.1080/00927872.2014.897561zbMath1323.16021OpenAlexW2158165127MaRDI QIDQ5245121

Nicholas J. Werner, Antonio Cigliola, K. Alan Loper

Publication date: 2 April 2015

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

Full work available at URL: https://doi.org/10.1080/00927872.2014.897561

zbMATH Keywords

prime idealsdivision ringsinteger-valued polynomialssplit quaternions

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Ideals in associative algebras (16D25) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Orders in separable algebras (16H10)

Related Items (3)

Int-decomposable algebras ⋮ Integer-Valued Polynomials on Algebras: A Survey of Recent Results and Open Questions ⋮ Multiplicative properties of integer valued polynomials over split-quaternions

Cites Work

• Integer-valued polynomials over quaternion rings.
• Scalar polynomial functions on the \(n\times n\) matrices over a finite field
• Integer valued polynomials on lower triangular integer matrices
• Integer-valued polynomials on algebras
• Integer-valued polynomials on algebras: a survey
• Integer-Valued Polynomials over Matrix Rings

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