Báo cáo viên: Nguyễn Đăng Hợp
Thời gian: 9h00, Thứ 4, Ngày 9/5/2018
Địa điểm: Phòng 611-612, tầng 6 nhà A6, Viện Toán học
Tóm tắt: Let R be a noetherian ring, and I an ideal of R. Let f be a function from the collections of ideals of R to the integers, for example f(J)=dim(R/J), for any ideal J of R. Many statements in commutative algebra have the form: The function mapping n to f(I^n) (where n>0), is eventually given by a polynomial of n, for every R and every I. We discuss some of these statements and relevant problems, starting from the classical results due to Hilbert, Serre, Brodmann, etc. |
