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arXiv · 1809.09160

Polynomial functions on non-commutative rings - a link between ringsets and null-ideal sets

Sophie Frisch
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Abstract

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 coefficients), 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 $R[x]$.

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Sophie Frisch. 2018-09-24. Polynomial functions on non-commutative rings - a link between ringsets and null-ideal sets. https://arxiv.org/abs/1809.09160

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