On Depth of Powers of Ideals

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dc.contributor.advisorMorey, Susan
dc.contributor.authorBruch, Heather E.
dc.date.accessioned2020-01-24T15:35:46Z
dc.date.available2020-01-24T15:35:46Z
dc.date.issued2011-04
dc.description.abstractThe 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.departmentMathematics
dc.formatText
dc.format.extent44 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBruch, H. E. (2011). On depth of powers of ideals (Unpublished thesis). Texas State University-San Marcos, San Marcos, Texas.
dc.identifier.urihttps://hdl.handle.net/10877/9271
dc.language.isoen
dc.subjectcommutative rings
dc.subjectalgebra
dc.titleOn Depth of Powers of Ideals
dc.typeThesis
thesis.degree.departmentMathematics
thesis.degree.grantorTexas State University-San Marcos
thesis.degree.levelMasters
thesis.degree.nameMaster of Science

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