FB6 Mathematik und Informatik, Universität -- GHS -- Essen, Postfach 103764, 45117 Essen, Germany ; Institute of Mathematics, University of Bucharest, P.O. Box 1-764, Bucharest 70700, Romania
Abstract:
In this paper we prove Pardue's conjecture on the regularity of principal -Borel ideals. As a consequence we obtain an upper bound for the regularity of general -Borel ideals.