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Vietnam Journal of Mathematics 34:4(2006) 489-494 |
Integral Closures of Monomial Ideals and Fulkersonian Hypergraphs |
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Ngo Viet Trung |
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Abstract. We prove that the integral closures of the powers of a squarefree monomial ideal $I$ equal the symbolic powers if and only if $I$ is the edge ideal of a Fulkersonian hypergraph. |
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2000 Mathematics Subject Classification: 13B22, 05C65. |
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Keywords: Monomial ideal, Fulkersonian hypergraph. |
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Vietnam Academy of Science and Technology
& Vietnamese Mathematical Society © Copyright 2009 Vietnam Journal of Mathematics. All rights reserved. |