Description

Title : Asymptotic prime divisors - II

Abstract : Consider a Noetherian ring R and an ideal I of R. Ratliff asked

a question that what happens to Ass(R/I^n) as n gets large ? He was able

to answer that question for the integral closure of I. Meanwhile Brodmann

answered the original question, and proved that the set Ass(R/I^n)

stabilizes for large n.

We will discuss the proof of stability of Ass(R/I^n). We will also

give an example to show that the sequence is not monotone. The aim of

this series of talks to present the first chapter of S. McAdam,

Asymptotic prime divisors, Lecture Notes in Mathematics 1023,

Springer-Verlag, Berlin, 1983.

Abstract : Consider a Noetherian ring R and an ideal I of R. Ratliff asked

a question that what happens to Ass(R/I^n) as n gets large ? He was able

to answer that question for the integral closure of I. Meanwhile Brodmann

answered the original question, and proved that the set Ass(R/I^n)

stabilizes for large n.

We will discuss the proof of stability of Ass(R/I^n). We will also

give an example to show that the sequence is not monotone. The aim of

this series of talks to present the first chapter of S. McAdam,

Asymptotic prime divisors, Lecture Notes in Mathematics 1023,

Springer-Verlag, Berlin, 1983.

Description

Ramanujan Hall

Date

Tue, October 24, 2017

Start Time

10:30am-11:25am IST

Duration

55 minutes

Priority

5-Medium

Access

Public

Created by

DEFAULT ADMINISTRATOR

Updated

Sun, October 22, 2017 12:27pm IST