A Stable Property of Borel Type Ideals

Abstract

In this article, we extend a result of Eisenbud–Reeves–Totaro in the frame of ideals of Borel type.

Key Words:

• Borel type ideals
• p-Borel ideals
• Mumford–Castelnuovo regularity

2000 Mathematics Subject Classification:

• Primary 13P10
• Secondary 13E10

ACKNOWLEDGMENTS

This article was supported by the CEEX Program of the Romanian Ministry of Education and Research, Contract CEX05-D11-11/2005 and by the Higher Education Commission of Pakistan.

The author is grateful to his adviser Dorin Popescu for his encouragement and valuable suggestions. My thanks goes also to the School of Mathematical Sciences, GC University, Lahore, Pakistan for supporting and facilitating this research.

Notes

Communicated by I. Swanson.