Journal of Commutative Algebra

Saturations of powers of certain determinantal ideals

Kosuke Fukumuro, Taro Inagawa, and Koji Nishida

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In this paper we study certain determinantal ideals that extend the class of ideals of Herzog-Northcott type introduced by O'Carroll and Planas-Vilanova. As is well known, in a three-dimensional Cohen-Macaulay local ring, the second symbolic powers of ideals of Herzog-Northcott type can be controlled well. We aim to generalize this fact considering ``saturation" instead of ``symbolic power." Furthermore, in order to compare the saturation with the symbolic power, we study the associated primes of the powers of certain determinantal ideals.

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J. Commut. Algebra, Volume 7, Number 2 (2015), 167-187.

First available in Project Euclid: 14 July 2015

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Fukumuro, Kosuke; Inagawa, Taro; Nishida, Koji. Saturations of powers of certain determinantal ideals. J. Commut. Algebra 7 (2015), no. 2, 167--187. doi:10.1216/JCA-2015-7-2-167.

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