Commutative Algebra seminar
Speaker: Sai Krishna P M S (IIT Bombay)
Host: Tony Puthenpurakal
Title: Number of generators of a Cohen-Macaulay ideal
Time, day and date: 4:00:00 PM, Tuesday, February 18
Venue: Ramanujan Hall
Abstract
Commutative Algebra seminar
We look at some results related to the bound on the number of generators of an ideal of a Noetherian local ring. Under the assumption that the ideal is Cohen-Macaulay, we get a bound on the number of generators of an ideal in a Noetherian local ring (R) in terms of the embedding dimension of the ring, the dimension, and the multiplicity of the quotient ring. We extend this result to any Cohen-Macaulay ideal of a Noetherian ring.