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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 1999; 36(1): 15-36

Printed January 1, 1999

Copyright © The Korean Mathematical Society.

The dimension of the rectangular product of lattices

Deok Rak Bae

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In this paper, we determine the dimension of the rectangular product of certain finite lattices. In fact, if $L_1$ and $L_2$ be finite lattices which satisfy the some conditions, then we have $\dim(L_1\square L_2)=\dim(L_1)+\dim(L_2)-1.$

Keywords: order-dimension, rectangular product, Ferrers relation, Ferrers-dimension, join-cover

MSC numbers: 06A07

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