Séries de Hilbert de algumas álgebras associadas a grafos orientados via cohomologia de conjuntos parcialmente ordenados / Hilbert series of algebras associated to directed graphs using cohomology of partially ordered sets

AUTOR(ES)
FONTE

IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia

DATA DE PUBLICAÇÃO

31/08/2011

RESUMO

We begin with a definition of the algebras Qn, who originated the study of algebra associated to directed graphs. Then, we define key concepts such as Hilbert series, graded and filtered algebras. Among the quadratic algebras, we introduce the Koszul algebras. The Hilbert series is a useful tool to study the Koszulity of a quadratic algebra. The homological interpretation of the coefficients of the Hilbert series of algebras associated with direct graphs allowed us to give conditions Koszulity these algebras in terms of the homological properties of the graph. We use this interpretation to construct algebras with Hilbert series prescribed.

ASSUNTO(S)

séries de hilbert grafos orientados grupos de homologia algebra matemática-Álgebra; série de hilbert; grafos orientados; grupos de homologia hilbert series directed graphs order homology

ACESSO AO ARTIGO

Documentos Relacionados