Monomial ideals with linear upper bound regularity

Abstract

In this paper, we extend a result of Eisenbud-Reeves-Totaro in the frame of ideals of Borel type. As a consequence, we obtain a linear upper bound for the regularity of a new class of ideals, called $\mathcal{D}$-fixed ideals.

5 pages

Cited by in corpus (2)

• Regularity of ideals of Borel type is linearly bounded
• Contribution in combinatorics in commutative algebra.(ph-d thesis)