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

Abstract

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 $reg(I^{((q))})\le q\cdot reg(I)$, respectively $reg(I^{[q]})\ge q\cdot reg(I)$. Also, we give an upper bound for $reg(I^{[q]})$.

8 pages, to appear in Romanian Journal of Mathematics and Computer Science

References in corpus (2)

• Some remarks on Borel type ideals
• A stable property of Borel type ideals