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arXiv · 2407.15444

Prime and maximal ideals in Hurwitz polynomial rings

Ali Shahidikia
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Abstract

In this paper we study prime and maximal ideals in a Hurwitz polynomial ring hR. It is well-known that to study many questions we may assume R is prime and consider just R-disjoint ideals. We give a characterization for an R-disjoint ideal to be prime. We study conditions under which there exists an R-disjoint ideal which is a maximal ideal and when this is the case how to determine all such maximal ideals. maximal ideal to be generated by polynomials of minimal degree.

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Ali Shahidikia. 2024-07-22. Prime and maximal ideals in Hurwitz polynomial rings. https://arxiv.org/abs/2407.15444

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