Orders in quadratic fields. IV
type: Item
instance of: scholarly article
title: Orders in quadratic fields. IV
zbMATH Open document ID: 0854.11053
published in: Proceedings of the Japan Academy. Series A
publication date: 1997-01-19T00:00:00Z
review text: For the purpose of investigating the ideal class group of a complex quadratic field, the author considers reduced ideals, primitive ideals and ambiguous classes of a complex quadratic order in an ideal theoretic setting. He gives ideal theoretic proofs of a sufficient condition for a primitive ideal to be reduced and also of the fact that there are at most two reduced ideals in any class and they are conjugates of one another if they exist.
Mathematics Subject Classification ID: 11R11
Mathematics Subject Classification ID: 11R29
Mathematics Subject Classification ID: 11R65
zbMATH DE Number: 897668
zbMATH Keywords: ideal class group
zbMATH Keywords: complex quadratic field
zbMATH Keywords: reduced ideals
zbMATH Keywords: primitive ideals
zbMATH Keywords: ambiguous classes of a complex quadratic order
author: Richard A. Mollin
reviewed by: Hideo Yokoi
MaRDI profile type: Publication
full work available at URL: pjaa.71.131
OpenAlex ID: W4248223737
cites work: A key-exchange system based on imaginary quadratic fields
cites work: Q3947745
cites work: Orders in quadratic fields. I
cites work: Orders in quadratic fields. III
cites work: Q4875913
cites work: Orders in quadratic fields. II
DOI: 10.3792/PJAA.71.131
description: scientific article; zbMATH DE number 897668