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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Format: | Others |
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CSUSB ScholarWorks
2014
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Online Access: | https://scholarworks.lib.csusb.edu/etd/31 https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=1066&context=etd |
Summary: | 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. |
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