Hauptmenü
  • Autor
    • Frisch, Sophie
  • TitelPolynomial functions on upper triangular matrix algebras
  • Datei
  • DOI10.1007/s00605-016-1013-y
  • Persistent Identifier
  • Erschienen inMonatshefte für Mathematik
  • Band184
  • Erscheinungsjahr2017
  • Heft2
  • Seiten201-215
  • ISSN1436-5081
  • ZugriffsrechteCC-BY
  • Download Statistik297
  • Peer ReviewJa
  • AbstractThere are two kinds of polynomial functions on matrix algebras over commutative rings: those induced by polynomials with coefficients in the algebra itself and those induced by polynomials with scalar coefficients. In the case of algebras of upper triangular matrices over a commutative ring, we characterize the former in terms of the latter (which are easier to handle because of substitution homomorphism). We conclude that the set of integer-valued polynomials with matrix coefficients on an algebra of upper triangular matrices is a ring, and that the set of null-polynomials with matrix coefficients on an algebra of upper triangular matrices is an ideal.