Some remarks on the ring of arithmetical functions
Rings and Algebras
2024-09-24 v2
Abstract
The aim of these notes is to study some of the structural aspects of the ring of arithmetical functions. We prove that this ring is neither Noetherian nor Artinian. Furthermore, we construct various types of prime ideals. We show arithmetic ring has infinite Krull dimension and its associated prime ideal set is nonempty.
Cite
@article{arxiv.2302.01072,
title = {Some remarks on the ring of arithmetical functions},
author = {Amartya Goswami},
journal= {arXiv preprint arXiv:2302.01072},
year = {2024}
}
Comments
The paper contains some incorrect results