Back to Commutative Algebra Seminar: Fall 2023
Commutative Algebra Seminar
Date: Friday, Nov 10, 2023
Time: 2:00PM - 3:00PM
Location: LCB 323
Cheng Meng
Purdue
Title |
Multiplicities in flat local extensions |
Abstract |
We introduce the notion of strongly Lech-independent ideals as a generalization of Lech-independent ideals defined by Lech and Hanes, and use this notion to derive inequalities on multiplicities of ideals. In particular we prove that if (R,m) and (S,n) are Noetherian local rings of the same dimension, S is a flat local extension of R,and up to completion S is standard graded over a field and I=mS is homogeneous, then the multiplicity of R is no greater than that of S. |
Commutative Algebra