Regularity of quasi-symbolic and bracket powers of Borel type ideals

In this paper, we show that the regularity of the q-th quasi-symbolic power I^{((q))} and the regularity of the q-th bracket power I^{[q]} of a monomial ideal of Borel type I, satisfy the relations reg(I^{((q))})\le q reg(I), respectively reg(I^{[q])}\ge q reg(I). Also, we give an upper bound for...

Full description

Bibliographic Details
Main Author: Mircea Cimpoeas
Format: Article
Language:English
Published: Conspress 2014-05-01
Series:Romanian Journal of Mathematics and Computer Science
Subjects:
Online Access:http://www.rjm-cs.ro/Cimpoeas-2014.pdf