Commutative Algebra Seminar

Date

Tuesday, 05 Mar, 4 pm—5 pm

Venue

Room 215

Host

Tony J. Puthenpurakal

speaker

Omkar Javadekar 

Affiliation

IIT Bombay

Title

A theorem of Bruns on free resolutions of ideals generated by three elements

Abstract

Let R be a commutative Noetherian ring. In 1972, P. Cohn proved that for every finitely generated R-module M, there exists a three-generated ideal I of R such that pd(M)=pd(R/I). In this series of two talks, we will see a generalization of Cohn's result due to W. Bruns. We will show that "every" finite free resolution over R is a free resolution of a 3-generated ideal of R.