Abstract
We prove that every semimodular lattice of finite length has a cover-preserving embedding as a filter into a simple semimodular lattice.
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Presented by M. Haviar.
This research was supported by the Hungarian National Foundation for Scientific Research (OTKA), grant no, K77432.
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Tamás Schmidt, E. Cover-preserving embeddings of finite length semimodular lattices into simple semimodular lattices. Algebra Univers. 64, 101–102 (2010). https://doi.org/10.1007/s00012-010-0091-2
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DOI: https://doi.org/10.1007/s00012-010-0091-2