- Autor
- 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
- Download Statistik1305
- 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.
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