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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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 |
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algebraic number theory commutative algebra monoid rings strongly two-generated ideals Algebra Other Mathematics |
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algebraic number theory commutative algebra monoid rings strongly two-generated ideals Algebra Other Mathematics Salt, Brittney M MONOID RINGS AND STRONGLY TWO-GENERATED IDEALS |
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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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1719275582936580096 |