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.
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. http://geodesic.mathdoc.fr/articles/10.21136/MB.2010.140684/

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