# Integer-valued polynomials on algebras: a survey

Sophie Frisch^{[1]}

- [1] Institut für Mathematik A, Technische Universität Graz, Steyrergasse 30, A-8010 Graz, Austria

Actes des rencontres du CIRM (2010)

- Volume: 2, Issue: 2, page 27-32
- ISSN: 2105-0597

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topFrisch, Sophie. "Integer-valued polynomials on algebras: a survey." Actes des rencontres du CIRM 2.2 (2010): 27-32. <http://eudml.org/doc/196287>.

@article{Frisch2010,

abstract = {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.},

affiliation = {Institut für Mathematik A, Technische Universität Graz, Steyrergasse 30, A-8010 Graz, Austria},

author = {Frisch, Sophie},

journal = {Actes des rencontres du CIRM},

keywords = {Integer-valued polynomials; matrices; quaternions; group rings; Prüfer domains},

language = {eng},

number = {2},

pages = {27-32},

publisher = {CIRM},

title = {Integer-valued polynomials on algebras: a survey},

url = {http://eudml.org/doc/196287},

volume = {2},

year = {2010},

}

TY - JOUR

AU - Frisch, Sophie

TI - Integer-valued polynomials on algebras: a survey

JO - Actes des rencontres du CIRM

PY - 2010

PB - CIRM

VL - 2

IS - 2

SP - 27

EP - 32

AB - 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.

LA - eng

KW - Integer-valued polynomials; matrices; quaternions; group rings; Prüfer domains

UR - http://eudml.org/doc/196287

ER -

## References

top- P.-J. Cahen and J.-L. Chabert, Integer-Valued Polynomials, Math. Surveys and Monographs 48, Amer. Math. Soc., Povidence, R.I., 1997. Zbl0884.13010MR1421321
- 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. Zbl1092.13027MR2140698
- S. Frisch, Integer-valued polynomials in algebra, preprint. Zbl1273.13037
- F. Halter-Koch and W. Narkiewicz, Commutative rings and binomial coefficients, Monatsh. Math.114 (1992), 107–110. Zbl0764.12002MR1191815
- K. A. Loper, A generalization of integer-valued polynomial rings, preprint. Zbl0896.13015
- N. Werner, Integer-valued polynomials over quaternions rings, J. Algebra324 (2010), 1754–1769. Zbl1219.16027MR2673759
- N. Werner, Integer-valued polynomials over matrix rings, Comm. Algebra, to appear.

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