Lattice Bases of Planar Lattices
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In this paper we give a characterization of planar lattices, and show that the sublattice [Formula: see text] corresponding to the Hibi ideal of a finite distributive lattice [Formula: see text] has a nice lattice basis if and only if [Formula: see text] is planar. We also consider the Gröbner basis of the lattice basis ideal attached to the planar lattices.
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2009 ◽
Vol 2
(4)
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pp. 601-634
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2012 ◽
Vol 47
(8)
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pp. 926-941
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1998 ◽
Vol 123
(1-3)
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pp. 275-283
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2013 ◽
Vol 24
(2)
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