Frisch, Sophie Integer-valued polynomials on algebras: a survey. (English) Zbl 1474.13044 Actes Rencontres C.I.R.M. 2, No. 2, 27-32 (2010). Summary: 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. Cited in 12 Documents MSC: 13F20 Polynomial rings and ideals; rings of integer-valued polynomials 13F05 Dedekind, Prüfer, Krull and Mori rings and their generalizations 13B25 Polynomials over commutative rings 13J10 Complete rings, completion 11C08 Polynomials in number theory 11C20 Matrices, determinants in number theory Keywords:integer-valued polynomials; matrices; quaternions; group rings; Prüfer domains × Cite Format Result Cite Review PDF Full Text: DOI Link References: [1] P.-J. Cahen and J.-L. Chabert, \(Integer-Valued Polynomials\), Math. Surveys and Monographs 48, Amer. Math. Soc., Povidence, R.I., 1997. · Zbl 0884.13010 [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 1092.13027 [3] S. Frisch, Integer-valued polynomials in algebra, preprint. · Zbl 1273.13037 [4] F. Halter-Koch and W. Narkiewicz, Commutative rings and binomial coefficients, \(Monatsh. Math.\)114 (1992), 107-110. · Zbl 0764.12002 [5] K. A. Loper, A generalization of integer-valued polynomial rings, preprint. · Zbl 0896.13015 [6] N. Werner, Integer-valued polynomials over quaternions rings, \(J. Algebra\)324 (2010), 1754-1769. · Zbl 1219.16027 [7] N. Werner, Integer-valued polynomials over matrix rings, \(Comm. Algebra\), to appear. Copyright Cellule MathDoc 2018 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.