4. Commutative Algebra Seminar
Time, Day and Date : 24th October, Thursday, 4:00 pm
Venue : Room 215
Speaker : Samarendra Sahoo
Title : Primes associated to multigraded rings.
Abstract : Let A be a Noetherian ring, I be an ideal, and M be a finitely
generated A-module. Brodmann(1979) proved that the set Ass(I^nM/I^{n+1}M)
and Ass(M/I^nM) are stable for large n. McAdam and Eakin(1979) proved that
if R is a standard graded Noetherian ring with R_0=A and M is a finitely
generated graded R-module then the set Ass_A(M_n) is stable for all large
n. In this series of talks, we will discuss a multigraded version of the
above result and its applications.