Systems with the integer rounding property in normal monomial subrings
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| Formato: | Artículo científico |
| Lenguaje: | en |
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Academia Brasileira de Ciências
2010
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| _version_ | 1876444940544770048 |
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| author | Luis A. Dupont |
| author_facet | Luis A. Dupont |
| contents | Systems with the integer rounding property in normal monomial subrings Luis A. Dupont Carlos Rentería-Márquez Rafael H. Villarreal Multidisciplinaria (Ciencias Naturales y Exactas) invariant normal ideal Rees algebra Ehrhart ring perfect graph Let C be a clutter and let A be its incidence matrix. If the linear system x > 0; x A < 1 has the integer rounding property, we give a description of the canonical module and the a-invariant of certain normal subrings associated to C. If the clutter is a connected graph, we describe when the aforementioned linear system has the integer rounding property in combinatorial and algebraic terms using graph theory and the theory of Rees algebras. As a consequence we show that the extended Rees algebra of the edge ideal of a bipartite graph is Gorenstein if and only if the graph is unmixed. 2010 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32717686002 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.4 Vol.82 |
| format | Artículo científico |
| id | redalyc_32717686002 |
| institution | Redalyc |
| language | en |
| publishDate | 2010 |
| publisher | Academia Brasileira de Ciências |
| spellingShingle | Systems with the integer rounding property in normal monomial subrings Luis A. Dupont Multidisciplinaria (Ciencias Naturales y Exactas) invariant normal ideal Rees algebra Ehrhart ring perfect graph Systems with the integer rounding property in normal monomial subrings Luis A. Dupont Carlos Rentería-Márquez Rafael H. Villarreal Multidisciplinaria (Ciencias Naturales y Exactas) invariant normal ideal Rees algebra Ehrhart ring perfect graph Let C be a clutter and let A be its incidence matrix. If the linear system x > 0; x A < 1 has the integer rounding property, we give a description of the canonical module and the a-invariant of certain normal subrings associated to C. If the clutter is a connected graph, we describe when the aforementioned linear system has the integer rounding property in combinatorial and algebraic terms using graph theory and the theory of Rees algebras. As a consequence we show that the extended Rees algebra of the edge ideal of a bipartite graph is Gorenstein if and only if the graph is unmixed. 2010 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32717686002 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.4 Vol.82 |
| title | Systems with the integer rounding property in normal monomial subrings |
| topic | Multidisciplinaria (Ciencias Naturales y Exactas) invariant normal ideal Rees algebra Ehrhart ring perfect graph |
| url | https://www.redalyc.org/articulo.oa?id=32717686002 |