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CSUniversity San Bernardino

MONOID RINGS AND STRONGLY TWO-GENERATED IDEALS

Abstract

dc:description.abstract

<p>This paper determines whether monoid rings with the two-generator property have the strong two-generator property. Dedekind domains have both the two-generator and strong two-generator properties. How common is this? Two cases are considered here: the zero-dimensional case and the one-dimensional case for monoid rings. Each case is looked at to determine if monoid rings that are not PIRs but are two-generated have the strong two-generator property. Full results are given in the zero-dimensional case, however only partial results have been found for the one-dimensional case.</p>

Degree

thesis:*
Name thesis:degree_name
Master of Arts in Mathematics
Level thesis:degree_level
Thesis
Discipline thesis:degree_discipline
Mathematics
Year dc:date.available
2014

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Salt, Brittney M
Contributors dc:contributor
  • Dr. J. Paul Vicknair

Subjects

dc:subject × 6

Identifiers

dc:identifier.*
Repository record dc:identifier
https://scholarworks.lib.csusb.edu/etd/31
OAI identifier oai:identifier
oai:scholarworks.lib.csusb.edu:etd-1066

Chain of custody

source
Harvested from
CSUniversity San Bernardino
Base URL
scholarworks.lib.csusb.edu/do/oai/
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Salt, Brittney M. MONOID RINGS AND STRONGLY TWO-GENERATED IDEALS. Thesis thesis, 2014. https://scholarworks.lib.csusb.edu/etd/31