Source: Osaka J. Math. Volume 46, Number 4
(2009), 1047-1058.
In this paper we give a generalization of a result of Herzog,
Hibi, and Zheng providing an upper bound for regularity of
powers of an ideal. As the main result of the paper, we give
a simple criterion in terms of Rees algebra of a given ideal
to show that high enough powers of this ideal have linear
resolution. We apply the criterion to two important ideals
$J,J_{1}$ for which we show that $J^{k}$, and $J_{1}^{k}$
have linear resolution if and only if $k\neq 2$. The procedures
we include in this work is encoded in computer algebra package
CoCoA [3].
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