Geodesic
On the height of order ideals
Mathematica Bohemica, Tome 135 (2010) no. 1, pp. 69-80
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We maximize the total height of order ideals in direct products of finitely many finite chains. We also consider several order ideals simultaneously. As a corollary, a shifting property of some integer sequences, including digit sum sequences, is derived.
We maximize the total height of order ideals in direct products of finitely many finite chains. We also consider several order ideals simultaneously. As a corollary, a shifting property of some integer sequences, including digit sum sequences, is derived.
DOI : 10.21136/MB.2010.140684
Classification : 06A07, 06D99
Keywords: order; product of chains; ideal of maximum height; digit sum sequence 
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Czédli, Gábor; Maróti, Miklós. On the height of order ideals. Mathematica Bohemica, Tome 135 (2010) no. 1, pp. 69-80. doi: 10.21136/MB.2010.140684

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