On the jacobian module associated to a graph
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 1998 |
| Tipo de documento: | Artigo |
| Idioma: | eng |
| Título da fonte: | Repositório Institucional da UFBA |
| Texto Completo: | http://www.repositorio.ufba.br/ri/handle/ri/12624 |
Resumo: | p. 989-997 |
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Simis, AronSimis, Aron2013-08-19T17:20:57Z2013-08-19T17:20:57Z19980002-9939http://www.repositorio.ufba.br/ri/handle/ri/12624v. 126, n. 4p. 989-997Abstract. 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.Submitted by Santiago Fabio (fabio.ssantiago@hotmail.com) on 2013-08-19T17:20:56Z No. of bitstreams: 1 22222222222222.pdf: 233849 bytes, checksum: ed085d2debb0d6e9b6fa3bae5c8362aa (MD5)Made available in DSpace on 2013-08-19T17:20:57Z (GMT). No. of bitstreams: 1 22222222222222.pdf: 233849 bytes, checksum: ed085d2debb0d6e9b6fa3bae5c8362aa (MD5) Previous issue date: 1998SalvadorProceedings of the American Mathematical Societyhttp://www.ams.org/journals/proc/1998-126-04/S0002-9939-98-04180-X/S0002-9939-98-04180-X.pdfreponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAOn the jacobian module associated to a graphProceedings of the American Mathematical Societyinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleenginfo:eu-repo/semantics/openAccessORIGINAL22222222222222.pdf22222222222222.pdfapplication/pdf233849https://repositorio.ufba.br/bitstream/ri/12624/1/22222222222222.pdfed085d2debb0d6e9b6fa3bae5c8362aaMD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/12624/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52ri/126242022-07-05 14:02:49.844oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestrepositorio@ufba.bropendoar:19322022-07-05T17:02:49Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false |
| dc.title.pt_BR.fl_str_mv |
On the jacobian module associated to a graph |
| dc.title.alternative.pt_BR.fl_str_mv |
Proceedings of the American Mathematical Society |
| title |
On the jacobian module associated to a graph |
| spellingShingle |
On the jacobian module associated to a graph Simis, Aron |
| title_short |
On the jacobian module associated to a graph |
| title_full |
On the jacobian module associated to a graph |
| title_fullStr |
On the jacobian module associated to a graph |
| title_full_unstemmed |
On the jacobian module associated to a graph |
| title_sort |
On the jacobian module associated to a graph |
| author |
Simis, Aron |
| author_facet |
Simis, Aron |
| author_role |
author |
| dc.contributor.author.fl_str_mv |
Simis, Aron Simis, Aron |
| description |
p. 989-997 |
| publishDate |
1998 |
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1998 |
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2013-08-19T17:20:57Z |
| dc.date.available.fl_str_mv |
2013-08-19T17:20:57Z |
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info:eu-repo/semantics/publishedVersion |
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info:eu-repo/semantics/article |
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article |
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publishedVersion |
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http://www.repositorio.ufba.br/ri/handle/ri/12624 |
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0002-9939 |
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v. 126, n. 4 |
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0002-9939 v. 126, n. 4 |
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Proceedings of the American Mathematical Society |
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Proceedings of the American Mathematical Society |
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