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Characterization of posets of intervals

Judita Lihová — 2000

Archivum Mathematicum

If A is a class of partially ordered sets, let P ( A ) denote the system of all posets which are isomorphic to the system of all intervals of A for some A A . We give an algebraic characterization of elements of P ( A ) for A being the class of all bounded posets and the class of all posets A satisfying the condition that for each a A there exist a minimal element u and a maximal element v with u a v , respectively.

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