On the jacobian module associated to a graph

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Campo DC	Valor	Idioma
dc.contributor.author	Simis, Aron	-
dc.creator	Simis, Aron	-
dc.date.accessioned	2013-08-19T17:20:57Z	-
dc.date.available	2013-08-19T17:20:57Z	-
dc.date.issued	1998	-
dc.identifier.issn	0002-9939	-
dc.identifier.uri	http://www.repositorio.ufba.br/ri/handle/ri/12624	-
dc.description	p. 989-997	pt_BR
dc.description.abstract	Abstract. We consider the jacobian module of a set f := ff1; : : : ; fmg 2 R:= k[X1; : : : ;Xn] of squarefree monomials of degree 2 corresponding to the edges of a connected bipartite graph G. We show that for such a graph G the number of its primitive cycles (i.e., cycles whose chords are not edges of G) is the second Betti number in a minimal resolution of the corresponding jacobian module. A byproduct is a graph theoretic criterion for the subalgebra k[G] := k[f] to be a complete intersection.	pt_BR
dc.language.iso	en	pt_BR
dc.publisher	Proceedings of the American Mathematical Society	pt_BR
dc.source	http://www.ams.org/journals/proc/1998-126-04/S0002-9939-98-04180-X/S0002-9939-98-04180-X.pdf	pt_BR
dc.title	On the jacobian module associated to a graph	pt_BR
dc.title.alternative	Proceedings of the American Mathematical Society	pt_BR
dc.type	Artigo de Periódico	pt_BR
dc.description.localpub	Salvador	pt_BR
dc.identifier.number	v. 126, n. 4	pt_BR
Aparece nas coleções:	Artigo Publicado em Periódico (IME)

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