Geodesic
On the height of order ideals
Mathematica Bohemica, Tome 135 (2010) no. 1, pp. 69-80

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
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 
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
@article{10_21136_MB_2010_140684,
     author = {Cz\'edli, G\'abor and Mar\'oti, Mikl\'os},
     title = {On the height of order ideals},
     journal = {Mathematica Bohemica},
     pages = {69--80},
     year = {2010},
     volume = {135},
     number = {1},
     doi = {10.21136/MB.2010.140684},
     mrnumber = {2643357},
     zbl = {1224.06002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2010.140684/}
}
TY  - JOUR
AU  - Czédli, Gábor
AU  - Maróti, Miklós
TI  - On the height of order ideals
JO  - Mathematica Bohemica
PY  - 2010
SP  - 69
EP  - 80
VL  - 135
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2010.140684/
DO  - 10.21136/MB.2010.140684
LA  - en
ID  - 10_21136_MB_2010_140684
ER  - 
%0 Journal Article
%A Czédli, Gábor
%A Maróti, Miklós
%T On the height of order ideals
%J Mathematica Bohemica
%D 2010
%P 69-80
%V 135
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2010.140684/
%R 10.21136/MB.2010.140684
%G en
%F 10_21136_MB_2010_140684

[1] Bollobás, B., Leader, I.: Sums in the grid. Discrete Math. 162 (1996), 31-48. | DOI | MR

[2] Czédli, G., Maróti, M., Schmidt, E. T.: On the scope of averaging for Frankl's conjecture. Order 26 (2009), 31-48. | DOI | MR | Zbl

[3] Davey, B. A., Priestley, H. A.: Introduction to Lattices and Order. Second edition, Cambridge University Press, New York (2002), xii+298. | MR | Zbl

[4] Gel'fond, A. O.: Sur les nombres qui ont des propriétés additives et multiplicatives données. Acta Arith. 13 (1967/1968), 259-265. | DOI | MR

[5] Grätzer, G.: General Lattice Theory. New appendices with B. A. Davey, R. Freese, B. Ganter, M. Greferath, P. Jipsen, H. A. Priestley, H. Rose, E. T. Schmidt, S. E. Schmidt, F. Wehrung, R. Wille; Second edition. Birkhäuser, Basel (1998). | MR

[6] Grätzer, G.: The congruences of a finite lattice. A proof-by-picture approach, Birkhäuser Boston, MA (2006), The Glossary of Notation is available as a pdf file at http://mirror.ctan.org/info/examples/Math$_-$into$_-$LaTeX-4/notation.pdf | MR | Zbl

[7] Lindström, B.: On a combinatorial problem in number theory. Canad. Math. Bull. 8 (1965), 477-490. | DOI | MR

Cité par Sources :