## Journal of Commutative Algebra

### Saturations of powers of certain determinantal ideals

#### Abstract

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.

#### Article information

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

Dates
First available in Project Euclid: 14 July 2015

https://projecteuclid.org/euclid.jca/1436909530

Digital Object Identifier
doi:10.1216/JCA-2015-7-2-167

Mathematical Reviews number (MathSciNet)
MR3370482

Zentralblatt MATH identifier
1331.13008

#### Citation

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. https://projecteuclid.org/euclid.jca/1436909530

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