3 citations · 4 across the 4 of their papers we have counts for
4 papers
Intervals of Antichains and Their Decompositions
Patrick De Causmaecker, Stefan De Wannemacker, Jay Yellen
An antichain of subsets is a set of subsets such that no subset in the antichain is a proper subset of any other subset in the antichain. The Dedekind number counts the total numbe…
On the number of antichains of sets in a finite universe
Patrick De Causmaecker, Stefan De Wannemacker
Properties of intervals in the lattice of antichains of subsets of a universe of finite size are investigated. New objects and quantities in this lattice are defined. Expressions a…
Partitioning in the space of antimonotonic functions
Patrick De Causmaecker, Stefan De Wannemacker
This paper studies partitions in the space of antimonotonic boolean functions on sets of n elements. The antimonotonic functions are the antichains of the partially ordered set of…
Structure theorems for AP rings
Stefan A. G. De Wannemacker, David W. Lewis
In ``New Proofs of the structure theorems for Witt Rings'', Lewis shows how the standard ring-theoretic results on the Witt ring can be deduced in a quick and elementary way from t…