Semimodular posets and the Jordan-Dedekind chain condition
Abstract: In this paper it is shown that an upper semimodular poset without infinite chains satisfies the Jordan-Dedekind chain condition. This corrects an error in Theorem 14, p. 40 of  and generalizes that theorem.
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Keywords: Semimodular posets, Jordan-Dedekind chain condition, partially ordered sets, lattices
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