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On lattice embeddings of a lattice into its intervals

✍ Scribed by Ján Jakubík

Book ID: 111493076
Publisher: SP Versita
Year: 2010
Tongue: English
Weight: 239 KB
Volume: 60
Category: Article
ISSN: 0139-9918
DOI: 10.2478/s12175-010-0005-y

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✦ Synopsis

In connection with his investigation of convexities generated by fractal lattices, Czédli formulated a conjecture concerning lattice embeddings of a lattice into its intervals. In the present note we modify the conditions from Czédli's conjecture; we consider only intervals having more than two elements. Further, we prove the validity of Czédli's conjecture.

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