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Combinatorics of syzygies for semigroup algebras

 

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Opened Access Combinatorics of syzygies for semigroup algebras
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Author: Briales Morales, Emilio
Pisón Casares, Pilar
Department: Universidad de Sevilla. Departamento de álgebra
Date: 1998
Published in: Collectanea Mathematica, 49 (2-3), 239-256.
Document type: Article
Abstract: We describe how the graded minimal resolution of certain semigroup algebras is related to the combinatorics of some simplicial complexes. We obtain characterizations of the Cohen-Macaulay and Gorenstein conditions. The Cohen-Macaulay type is computed from combinatorics. As an application, we compute explicitly the graded minimal resolution of monomial both affine and simplicial projective surfaces.
Cite: Briales Morales, E. y Pisón Casares, P. (1998). Combinatorics of syzygies for semigroup algebras. Collectanea Mathematica, 49 (2-3), 239-256.
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URI: http://hdl.handle.net/11441/48754

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