Commutative Algebra seminar
Speaker: P. M. S Sai Krishna (IIT Bombay)
Host: Tony Puthenpurakal
Title: Number of generators of a Cohen-Macaulay ideal- II
Time, day and date: 4:00:00 PM, Tuesday, March 3
Venue: Ramanujan Hall
Abstract: 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.