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Some algebraic invariants related to mixed product ideals

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Abstract.

We compute some algebraic invariants (e.g. depth, Castelnuovo-Mumford regularity) for a special class of monomial ideals, namely the ideals of mixed products. As a consequence, we characterize the Cohen-Macaulay ideals of mixed products.

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Authors and Affiliations

  1. Institute of Mathematics Simion Stoilow of the Romanian Academy, P.O. Box 1-764, RO-014700, Bucharest, Romania

    Cristodor Ionescu

  2. Dipartimento di Matematica, Università di Messina, Contrada Papardo, salita Sperone, 31, I-98166, Messina, Italy

    Giancarlo Rinaldo

Authors
  1. Cristodor Ionescu
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  2. Giancarlo Rinaldo
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Corresponding author

Correspondence to Cristodor Ionescu.

Additional information

The first author was supported by the CNCSIS grant ID-PCE no. 51/2007.

Received: 25 October 2007

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Ionescu, C., Rinaldo, G. Some algebraic invariants related to mixed product ideals. Arch. Math. 91, 20–30 (2008). https://doi.org/10.1007/s00013-008-2633-9

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  • DOI: https://doi.org/10.1007/s00013-008-2633-9

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