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2008•arXiv (Cornell University)Open access

Betti numbers of mixed product ideals

Giancarlo Rinaldo

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Abstract

We compute the Betti numbers of the resolution of a special class of square-free monomial ideals, the ideals of mixed products. Moreover when these ideals are Cohen-Macaulay we calculate their type.

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We compute the Betti numbers of the resolution of a special class of square-free monomial ideals, the ideals of mixed products. Moreover when these ideals are Cohen-Macaulay we calculate their type.

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Available abstract

We compute the Betti numbers of the resolution of a special class of square-free monomial ideals, the ideals of mixed products. Moreover when these ideals are Cohen-Macaulay we calculate their type.

Key concepts: Betti number, Monomial, Mathematics, Monomial ideal, Square-free integer, Class (philosophy), Square (algebra), Product (mathematics)

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