Prime and maximal ideals in Hurwitz polynomial rings
Commutative Algebra
2024-07-23 v1 Rings and Algebras
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.
Keywords
Cite
@article{arxiv.2407.15444,
title = {Prime and maximal ideals in Hurwitz polynomial rings},
author = {Ali Shahidikia},
journal= {arXiv preprint arXiv:2407.15444},
year = {2024}
}