Abstract
We show that in a semimodular lattice L of finite length, from any prime interval we can reach any maximal chain C by an up- and a down-perspectivity. Therefore, C is a congruence-determining sublattice of L.
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Presented by G. Czedli.
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Grätzer, G., Nation, J.B. A new look at the Jordan-Hölder theorem for semimodular lattices. Algebra Univers. 64, 309–311 (2010). https://doi.org/10.1007/s00012-011-0104-9
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DOI: https://doi.org/10.1007/s00012-011-0104-9