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.

5 pages

References in corpus (3)

• Castelnuovo-Mumford regularity of products of ideals
• A stable property of Borel type ideals
• Regularity of ideals of Borel type is linearly bounded

Cited by in corpus (4)

• Monomial ideals under ideal operations
• Partial regularities and $a^{\ast }$-invariants of Borel type ideals
• Bounds for the regularity of product of edge ideals
• Regularity of quasi-symbolic and bracket powers of Borel type ideals