Super-multiplicativity of ideal norms in number fields
Number Theory
2022-01-19 v2
Abstract
In this article we study inequalities of ideal norms. We prove that in a subring of a number field every ideal can be generated by at most elements if and only if the ideal norm satisfies for every pair of non-zero ideals and of every ring extension of contained in the normalization of .
Cite
@article{arxiv.1810.02238,
title = {Super-multiplicativity of ideal norms in number fields},
author = {Stefano Marseglia},
journal= {arXiv preprint arXiv:1810.02238},
year = {2022}
}
Comments
Final version. The content is the same as the "Online First" version published on the journal's web site