Restoring Factorization in Integral Domains

Restoring Factorization in Integral Domains

This is an expository thesis on integral domains which are not unique factorization domains. We focus on restoring a type of unique factorization using prime ideals within quadratic integer rings. In particular, we examine which quadratic integer rings will admit such factorization.

Bibliographic Details
Main Author: Kirk, Susan
Format: Others
Published: VCU Scholars Compass 2015
Subjects:
integral domains
factorization
Online Access:http://scholarscompass.vcu.edu/etd/3850
http://scholarscompass.vcu.edu/cgi/viewcontent.cgi?article=4866&context=etd
id ndltd-vcu.edu-oai-scholarscompass.vcu.edu-etd-4866
record_format oai_dc
spelling ndltd-vcu.edu-oai-scholarscompass.vcu.edu-etd-48662017-03-17T08:28:28Z Restoring Factorization in Integral Domains Kirk, Susan This is an expository thesis on integral domains which are not unique factorization domains. We focus on restoring a type of unique factorization using prime ideals within quadratic integer rings. In particular, we examine which quadratic integer rings will admit such factorization. 2015-01-01T08:00:00Z text application/pdf http://scholarscompass.vcu.edu/etd/3850 http://scholarscompass.vcu.edu/cgi/viewcontent.cgi?article=4866&context=etd © The Author Theses and Dissertations VCU Scholars Compass integral domains factorization
collection NDLTD
format Others
sources NDLTD
topic integral domains
factorization
spellingShingle integral domains
factorization
Kirk, Susan
Restoring Factorization in Integral Domains
description This is an expository thesis on integral domains which are not unique factorization domains. We focus on restoring a type of unique factorization using prime ideals within quadratic integer rings. In particular, we examine which quadratic integer rings will admit such factorization.
author Kirk, Susan
author_facet Kirk, Susan
author_sort Kirk, Susan
title Restoring Factorization in Integral Domains
title_short Restoring Factorization in Integral Domains
title_full Restoring Factorization in Integral Domains
title_fullStr Restoring Factorization in Integral Domains
title_full_unstemmed Restoring Factorization in Integral Domains
title_sort restoring factorization in integral domains
publisher VCU Scholars Compass
publishDate 2015
url http://scholarscompass.vcu.edu/etd/3850
http://scholarscompass.vcu.edu/cgi/viewcontent.cgi?article=4866&context=etd
work_keys_str_mv AT kirksusan restoringfactorizationinintegraldomains
_version_ 1718428566956277760

Similar Items