| Issue |
ITM Web Conf.
Volume 20, 2018
International Conference on Mathematics (ICM 2018) Recent Advances in Algebra, Numerical Analysis, Applied Analysis and Statistics
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|
|---|---|---|
| Article Number | 01003 | |
| Number of page(s) | 8 | |
| Section | Algebra | |
| DOI | https://doi.org/10.1051/itmconf/20182001003 | |
| Published online | 12 October 2018 | |
Polynomial functions on subsets of non-commutative rings — a link between ringsets and null-ideal sets
Institut für Analysis und Zahlentheorie, Technische Universität Graz, Kopernikusgasse 24, 8010 Graz, Austria
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Corresponding author: frisch@math.tugraz.at
Regarding polynomial functions on a subset S of a non-commutative ring R, that is, functions induced by polynomials in R[x] (whose variable commutes with the coeffcients), we show connections between, on one hand, sets S such that the integer-valued polynomials on S form a ring, and, on the other hand, sets S such that the set of polynomials in R[x] that are zero on S is an ideal of R[x].
© The Authors, published by EDP Sciences, 2018
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