The ordinal variety of distributive ordered sets of width two. (English) Zbl 0773.06006

An ordered set \(P\) is said to be distributive if \(L(U(a,b),c)=LU(L(a,c),L(b,c))\), where \(L(X)\) and \(U(X)\) denote the sets of all lower and upper bounds of a subset \(X\) in \(P\) respectively. The author looks for ordinally irreducible distributive ordered sets of width two.
Reviewer: J.Niederle (Brno)


06A07 Combinatorics of partially ordered sets


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