Monomial modules and graded Betti numbers |
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Authors: | M Crupi G Restuccia |
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Institution: | 1. Università di Messina, Messina, Italy
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Abstract: | Let K be a field, S = Kx 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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