Multiplicative properties of integer valued polynomials over split-quaternions

DOI10.1080/00927872.2020.1834572zbMath1480.16038OpenAlexW3097604527MaRDI QIDQ5856300

Antonio Cigliola, Dario Spirito, Francesca Tartarone

Publication date: 25 March 2021

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

Full work available at URL: https://doi.org/10.1080/00927872.2020.1834572

zbMATH Keywords

prime idealKrull dimensionquaternion algebra

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Cites Work

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• Generalized rings of integer-valued polynomials
• Non-triviality conditions for integer-valued polynomial rings on algebras
• Integer-valued polynomials over quaternion rings.
• Decomposition of integer-valued polynomial algebras
• Integer-valued polynomials on algebras
• Localization in non-commutative Noetherian rings
• Integer-Valued Polynomials
• Integral Closure of Rings of Integer-Valued Polynomials on Algebras
• Integer-Valued Polynomials over Matrix Rings
• Split Quaternions and Integer-valued Polynomials

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