Regularity for certain classes of monomial ideals

Abstract

We introduce a new class of monomial ideals, called strong Borel type ideals, and we compute the Mumford-Castelnouvo regularity for principal strong Borel type ideals. Also, we describe the d-fixed ideals generated by powers of variables and we compute their regularity.

10 pages

References in corpus (2)

• A stable property of Borel type ideals
• Regularity of ideals of Borel type is linearly bounded

Cited by in corpus (1)

• Contribution in combinatorics in commutative algebra.(ph-d thesis)