algebra universalis

, Volume 44, Issue 3–4, pp 379–382 | Cite as

Strong semimodular lattices and Frankl's conjecture

  • Tetsuya Abe


In this paper, we show that Frankl's conjecture holds for strong semimodular lattices. The result is the first step to deal with the case of upper semimodular lattices.

Key words and phrases:Strong semimodular lattices, Frankl's conjecture. 


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Copyright information

© Birkhäuser Verlag Basel, 2000

Authors and Affiliations

  • Tetsuya Abe
    • 1
  1. 1.Department of Computational Intelligence and Systems Science, Interdisciplinary Graduate School of Science and Engineering, Tokyo Institute of Technology, 4259, Nagatsuta, Midori-ku, Yokohama, 226-8502, Japan, e-mail:

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