International Journal of Mathematics and Mathematical Sciences
Volume 26 (2001), Issue 10, Pages 581-588
doi:10.1155/S0161171201020087

On blockers in bounded posets

Andrey O. Matveev

Data-Center Company, RU-620034, P.O. Box 5, Ekaterinburg, Russia

Received 15 November 2000; Revised 24 May 2001

Copyright © 2001 Andrey O. Matveev. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Antichains of a finite bounded poset are assigned antichains playing a role analogous to that played by blockers in the Boolean lattice of all subsets of a finite set. Some properties of lattices of generalized blockers are discussed.