On Depth of Powers of Ideals
Bruch, Heather E.
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.
commutative rings, algebra
Bruch, H. E. (2011). On depth of powers of ideals (Unpublished thesis). Texas State University-San Marcos, San Marcos, Texas.