The ring of integer valued polynomials on \(2 \times 2\) matrices and its integral closure

DOI10.1016/j.jalgebra.2015.06.011zbMath1327.13069OpenAlexW802445265MaRDI QIDQ493781

Sabine Evrard, Keith Johnson

Publication date: 4 September 2015

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.06.011

zbMATH Keywords

matrix ringsdivision algebrasinteger-valued polynomialsintegral closure\(P\)-orderings

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials in number theory (11C08) Matrices, determinants in number theory (11C20)

Related Items (9)

Null ideals of subsets of matrix rings over fields ⋮ Properly integral polynomials over the ring of integer-valued polynomials on a matrix ring ⋮ Algebraic-integer valued polynomials ⋮ The Ring of Integer-Valued Polynomials on 3 × 3 Matrices and Its Integral Closure ⋮ 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 ⋮ Integer-valued skew polynomials

Cites Work

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• Generalized rings of integer-valued polynomials
• Integer valued polynomials on lower triangular integer matrices
• Integer-valued polynomials on algebras
• Integral-valued polynomials over sets of algebraic integers of bounded degree
• Integer-Valued Polynomials
• $P$-orderings of noncommutative rings

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