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1	Consistency in Lattices Race, David M. (David Michael) 05 1900 (has links) Let L be a lattice. For x ∈ L, we say x is a consistent join-irreducible if x V y is a join-irreducible of the lattice [y,1] for all y in L. We say L is consistent if every join-irreducible of L is consistent. In this dissertation, we study the notion of consistent elements in semimodular lattices. lattice theory semimodular lattices Lattice theory.
2	Rough Isometries of Order Lattices and Groups / Grobe Isometrien von Ordnungsverbänden und Gruppen Lochmann, Andreas 06 August 2009 (has links) No description available. 510 Mathematik Mathematics and Computer Science grobe Isometrie metrischer Verband Kommensurabilität Quasi-Isometrie Lipschitzfunktion rough isometry metric lattice commensurability quasi-isometry Lipschitz function 31.59 31.11 31.21 EAGB 990: None of the above EAGC 100: Semimodular lattices complemented lattices}