MONOID RINGS AND STRONGLY TWO-GENERATED IDEALS

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 ca...

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Main Author:	Salt, Brittney M
Format:	Others
Published:	CSUSB ScholarWorks 2014
Subjects:	algebraic number theory commutative algebra monoid rings strongly two-generated ideals Algebra Other Mathematics
Online Access:	https://scholarworks.lib.csusb.edu/etd/31 https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=1066&context=etd

id	ndltd-csusb.edu-oai-scholarworks.lib.csusb.edu-etd-1066
record_format	oai_dc
spelling	ndltd-csusb.edu-oai-scholarworks.lib.csusb.edu-etd-10662019-10-23T03:35:23Z MONOID RINGS AND STRONGLY TWO-GENERATED IDEALS Salt, Brittney M 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. 2014-06-01T07:00:00Z text application/pdf https://scholarworks.lib.csusb.edu/etd/31 https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=1066&context=etd Electronic Theses, Projects, and Dissertations CSUSB ScholarWorks algebraic number theory commutative algebra monoid rings strongly two-generated ideals Algebra Other Mathematics
collection	NDLTD
format	Others
sources	NDLTD
topic	algebraic number theory commutative algebra monoid rings strongly two-generated ideals Algebra Other Mathematics
spellingShingle	algebraic number theory commutative algebra monoid rings strongly two-generated ideals Algebra Other Mathematics Salt, Brittney M MONOID RINGS AND STRONGLY TWO-GENERATED IDEALS
description	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.
author	Salt, Brittney M
author_facet	Salt, Brittney M
author_sort	Salt, Brittney M
title	MONOID RINGS AND STRONGLY TWO-GENERATED IDEALS
title_short	MONOID RINGS AND STRONGLY TWO-GENERATED IDEALS
title_full	MONOID RINGS AND STRONGLY TWO-GENERATED IDEALS
title_fullStr	MONOID RINGS AND STRONGLY TWO-GENERATED IDEALS
title_full_unstemmed	MONOID RINGS AND STRONGLY TWO-GENERATED IDEALS
title_sort	monoid rings and strongly two-generated ideals
publisher	CSUSB ScholarWorks
publishDate	2014
url	https://scholarworks.lib.csusb.edu/etd/31 https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=1066&context=etd
work_keys_str_mv	AT saltbrittneym monoidringsandstronglytwogeneratedideals
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MONOID RINGS AND STRONGLY TWO-GENERATED IDEALS

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