On Depth of Powers of Ideals
dc.contributor.advisor | Morey, Susan | |
dc.contributor.author | Bruch, Heather E. | |
dc.date.accessioned | 2020-01-24T15:35:46Z | |
dc.date.available | 2020-01-24T15:35:46Z | |
dc.date.issued | 2011-04 | |
dc.description.abstract | The paper “The depth of powers of an ideal," by Herzog and Hibi is expanded to include background information and proof details. The numerical function f(k)=depth(S/Ik] is discussed where S is Noetherian local or standard graded and I is a proper ideal of S. A combinatorial example where depth is known for each power is included. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 44 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Bruch, H. E. (2011). On depth of powers of ideals (Unpublished thesis). Texas State University-San Marcos, San Marcos, Texas. | |
dc.identifier.uri | https://hdl.handle.net/10877/9271 | |
dc.language.iso | en | |
dc.subject | commutative rings | |
dc.subject | algebra | |
dc.title | On Depth of Powers of Ideals | |
dc.type | Thesis | |
thesis.degree.department | Mathematics | |
thesis.degree.grantor | Texas State University-San Marcos | |
thesis.degree.level | Masters | |
thesis.degree.name | Master of Science |
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