Extended Blocker, Deletion, and Contraction Maps on Antichains
نویسنده
چکیده
Families of maps on the lattice of all antichains of a finite bounded poset that extend the blocker, deletion, and contraction maps on clutters are considered. Influence of the parameters of the maps is investigated. Order-theoretic extensions of some principal relations for the set-theoretic blocker, deletion, and contraction maps on clutters are presented. 1. Introduction and preliminary. Let P be a finite bounded poset of cardi-nality greater than one. We can define some maps on the lattice of all antichains A(P) of the poset P that naturally extend the set-theoretic blocker, deletion,
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