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Monomial modules and graded Betti numbers

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Abstract

Let K be a field, S = K[x 1,…, x n ], the polynomial ring over K, and let F be a finitely generated graded free S-module with homogeneous basis. Certain invariants, such as the Castelnuovo-Mumford regularity and the graded Betti numbers of submodules of F, are studied; in particular, the componentwise linear submodules of F are characterized in terms of their graded Betti numbers.

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Authors and Affiliations

  1. Università di Messina, Messina, Italy

    M. Crupi & G. Restuccia

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  1. M. Crupi
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  2. G. Restuccia
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Correspondence to M. Crupi.

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Published in Russian in Matematicheskie Zametki, 2009, Vol. 85, No. 5, pp. 721–731.

The text was submitted by the authors in English.

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Crupi, M., Restuccia, G. Monomial modules and graded Betti numbers. Math Notes 85, 690–702 (2009). https://doi.org/10.1134/S0001434609050095

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