Indispensable Hibi Relations and Gröbner Bases
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In this paper we consider Hibi rings and Rees rings attached to a poset. We classify the ideal lattices of posets whose Hibi relations are indispensable and the ideal lattices of posets whose Hibi relations form a quadratic Gröbner basis with respect to the rank lexicographic order. Similar classifications are obtained for Rees rings of Hibi ideals.
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2011 ◽
Vol 48
(4)
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pp. 458-474
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2010 ◽
Vol 13
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pp. 111-129
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2015 ◽
Vol 4
(2)
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pp. 1-14
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2018 ◽
Vol 28
(04)
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pp. 553-571
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2006 ◽
Vol 16
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pp. 187-202
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