JP Journal of Algebra, Number Theory and Applications
Volume 38, Issue 1, Pages 45 - 62
(February 2016) http://dx.doi.org/10.17654/NT038010045 |
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AN ALGEBRAIC APPROACH TO THE NUMBER OF SOME ANTICHAINS IN THE POWERSET
AgustÃn Moreno Cañadas, Hernán Giraldo and Gabriel Bravo Rios
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Abstract: The structure of some path algebras of infinite representation type is used to obtain a formula for the number of two-points antichains in the powerset of an n-element set ordered by inclusion. |
Keywords and phrases: algorithm of differentiation, antichain, Dedekind number, indecomposable representation, path algebra, poset representation, quiver representation. |
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