JP Journal of Algebra, Number Theory and Applications
Volume 38, Issue 3, Pages 279 - 293
(June 2016) http://dx.doi.org/10.17654/NT038030279 |
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ON THE NUMBER OF TWO-POINT ANTICHAINS IN THE POWERSET OF AN n-ELEMENT SET ORDERED BY INCLUSION
AgustÃn Moreno Cañadas, Veronica Cifuentes Vargas and Andrés Felipe Gonzalez
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Abstract: Tiled orders are used to establish properties of the sequence whose elements count the number of two-point antichains in the powerset of an n-element set ordered by inclusion. In particular, we find a partition formula for numbers in this sequence. |
Keywords and phrases: antichain, Auslander-Reiten quiver, categorification of an integer sequence, indecomposable module, integer partition, poset representation, tiled order, order. |
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