Sums of generators of ideals in residue class ring
type: Item
instance of: scholarly article
title: Sums of generators of ideals in residue class ring
zbMATH Open document ID: 1360.11107
author: Chungang Ji
author: Xin Zhang
published in: Journal of Number Theory
publication date: 2017-01-23T00:00:00Z
review text: Let \(K\) be an algebraic number field, and let \({\mathcal O}_{K}\) be its ring of integers. Let \(\mathfrak{I}\) be a nonzero ideal of \({\mathcal O}_{K}\). For an element \(a \in {\mathcal O}_{K}/\mathfrak{I}\) one can define \(({\mathcal O}_{K}/\mathfrak{I})^* a\) as an orbit of \(a\). The authors investigate which orbits lie in a union of the sumset of two given orbits and similar problems.
Mathematics Subject Classification ID: 11R04
Mathematics Subject Classification ID: 11B13
Mathematics Subject Classification ID: 20K01
zbMATH DE Number: 6676803
zbMATH Keywords: residue class rings
zbMATH Keywords: sums of generators
zbMATH Keywords: sums of units
reviewed by: A. Dubickas
MaRDI profile type: Publication
full work available at URL: j.jnt.2016.10.018
OpenAlex ID: W2560475089
cites work: Adding units mod \(n\)
cites work: Distance powers and distance matrices of integral Cayley graphs over abelian groups
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cites work: On the addition of squares of units and nonunits modulo \(n\)
DOI: 10.1016/J.JNT.2016.10.018
description: scientific article; zbMATH DE number 6676803