Systems with the integer rounding property in normal monomial subrings
2010 ◽
Vol 82
(4)
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pp. 801-811
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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.
2016 ◽
Vol 08
(03)
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pp. 1650040
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2014 ◽
Vol 592-594
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pp. 1165-1169
2019 ◽
Vol 11
(06)
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pp. 1950068
Keyword(s):
2016 ◽
Vol 16
(08)
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pp. 1750145
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Keyword(s):
2013 ◽
Vol 24
(06)
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pp. 921-939
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Keyword(s):
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2020 ◽
Vol 9
(5)
◽
pp. 1037-1040
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