Integer-valued polynomials on algebras: a survey

DOI10.5802/acirm.30zbMath1474.13044OpenAlexW2317519589MaRDI QIDQ4682428

Sophie Frisch

Publication date: 18 September 2018

Published in: Actes des rencontres du CIRM (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/e8d96576faca66f8b6334389a6d0cbe56ec6374c

zbMATH Keywords

matricesgroup ringsquaternionsinteger-valued polynomialsPrüfer domains

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials in number theory (11C08) Polynomials over commutative rings (13B25) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Complete rings, completion (13J10) Matrices, determinants in number theory (11C20)

Related Items (11)

SOME RESULTS ON INTEGER-VALUED POLYNOMIALS OVER MODULES ⋮ Properly integral polynomials over the ring of integer-valued polynomials on a matrix ring ⋮ 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 ⋮ Integer-valued skew polynomials ⋮ Split Quaternions and Integer-valued Polynomials ⋮ Irreducibility of integer-valued polynomials I ⋮ Null ideals of matrices over residue class rings of principal ideal domains

Cites Work

• Integer-valued polynomials over quaternion rings.
• Commutative rings and binomial coefficients
• Integer-valued polynomials on algebras
• Integer-Valued Polynomials
• Ideals of integer-valued polynomial rings
• Unnamed Item

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