Some Remarks on Borel Type Ideals

Abstract

We give new equivalent characterizations for ideals of Borel type. Also, we prove that the regularity of a product of ideals of Borel type is bounded by the sum of the regularities of those ideals.

Key Words:

• Borel type ideals
• Mumford–Castelnuovo regularity

2000 Mathematics Subject Classification:

• Primary 13P10
• Secondary 13E10

ACKNOWLEDGMENT

This paper was supported by the CNCSIS grant ID-PCE no. 51/2007.

Notes

Communicated by I. Swanson.