Article ID Journal Published Year Pages File Type
4589122 Journal of Algebra 2006 18 Pages PDF
Abstract

In this paper, we study the properties of noetherian rings containing uniform local cohomological annihilators. It turns out that all such rings should be universally catenary and locally equidimensional. We will prove a necessary and sufficient condition for such rings, which enables us to show that if a locally equidimensional ring R is the image of a Cohen–Macaulay ring, then R has a uniform local cohomological annihilator. Moreover, we will give a positive answer to a conjecture of Huneke [C. Huneke, Uniform bounds in noetherian rings, Invent. Math. 107 (1992) 203–223, Conjecture 2.13] about excellent rings with dimension no more than 5.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory