On monoids of ideals of orders in quadratic number fields
Commutative Algebra
2019-06-25 v2 Number Theory
Abstract
We determine the set of catenary degrees, the set of distances, and the unions of sets of lengths of the monoid of nonzero ideals and of the monoid of invertible ideals of orders in quadratic number fields.
Keywords
Cite
@article{arxiv.1901.04528,
title = {On monoids of ideals of orders in quadratic number fields},
author = {Johannes Brantner and Alfred Geroldinger and Andreas Reinhart},
journal= {arXiv preprint arXiv:1901.04528},
year = {2019}
}