no. 2
Integer-valued polynomials on algebras: a survey
Frisch, Sophie1
1 Institut für Mathematik A, Technische Universität Graz, Steyrergasse 30, A-8010 Graz, Austria
Actes des rencontres du CIRM, Troisième Rencontre Internationale sur les Polynômes à Valeurs Entières, Tome 2 (2010) no. 2, pp. 27-32

We compare several different concepts of integer-valued polynomials on algebras and collect the few results and many open questions to be found in the literature.

Publié le :
DOI : 10.5802/acirm.30
Classification : 13F20, 13F05, 13B25, 13J10, 11C08, 11C20
Keywords: Integer-valued polynomials, matrices, quaternions, group rings, Prüfer domains.

Frisch, Sophie 1

1 Institut für Mathematik A, Technische Universität Graz, Steyrergasse 30, A-8010 Graz, Austria 
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Frisch, Sophie. Integer-valued polynomials on algebras:  a survey. Actes des rencontres du CIRM, Troisième Rencontre Internationale sur les Polynômes à Valeurs Entières, Tome 2 (2010) no. 2, pp. 27-32. doi: 10.5802/acirm.30

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[2] S. Frisch, Polynomial separation of points in algebras, in Arithmetical Properties of Commutative Rings and Monoids, 253–259, Lect. Notes Pure Appl. Math. 241, Chapman & Hall, Boca Raton, 2005. | Zbl

[3] S. Frisch, Integer-valued polynomials in algebra, preprint. | MR | DOI

[4] F. Halter-Koch and W. Narkiewicz, Commutative rings and binomial coefficients, Monatsh. Math. 114 (1992), 107–110. | DOI | Zbl

[5] K. A. Loper, A generalization of integer-valued polynomial rings, preprint. | MR | DOI | Zbl

[6] N. Werner, Integer-valued polynomials over quaternions rings, J. Algebra 324 (2010), 1754–1769. | DOI | Zbl

[7] N. Werner, Integer-valued polynomials over matrix rings, Comm. Algebra, to appear. | Zbl | MR | DOI

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