Title of article :
On Lawrence semigroups
Author/Authors :
PilarPis?n-Casares، نويسنده , , Alberto Vigneron-Tenorio، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2008
Pages :
7
From page :
804
To page :
810
Abstract :
Lawrence semigroups arise as a tool to compute Graver bases of semigroup ideals. It is known that the minimal free resolution of semigroup ideals is characterized by the reduced homologies of certain simplicial complexes. In this paper we study the minimal degrees of a Lawrence semigroup ideal and its first syzygy given a combinatorial characterization of the nonvanishing cycles in their associated reduced homologies. We specialize the results that appeared in [Briales, E., Campillo, A., Marijuán, C., Pisón, P., 1998. Minimal systems of generators for ideals of semigroups. J. Pure Appl. Algebra, 127, 7–30] and [Pisón-Casares, P., Vigneron-Tenorio, A., 2001. First syzygies of toric varieties and diophantine equations in congruence. Comm. Alg. 29 (4), 1445–1466] to the Lawrence semigroups.
Keywords :
Graver basisGr?bner basisLattice idealLawrence liftingSemigroup idealSimplicial complex
Journal title :
Journal of Symbolic Computation
Serial Year :
2008
Journal title :
Journal of Symbolic Computation
Record number :
806080
Link To Document :
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