Morey, SusanBruch, Heather E.2020-01-242020-01-242011-04Bruch, H. E. (2011). On depth of powers of ideals (Unpublished thesis). Texas State University-San Marcos, San Marcos, Texas.https://hdl.handle.net/10877/9271The 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.Text44 pages1 file (.pdf)encommutative ringsalgebraThesis