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)))≤q⋅reg(I), respectively reg(I[q])≥q⋅reg(I). Also, we give an
upper bound for reg(I[q]).Comment: 8 pages, to appear in Romanian Journal of Mathematics and Computer
Scienc