Abstract
An isometric sublattice on a six-dimensional vector space lattice is constructed having a congruence relation such that the factor lattice does not admit any representation via contraction.
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References
Herrmann, C.: On the contractions of vectorial lattice representations, Order 8 (1991), 175–281
Poguntke, W.: Zerlegung von S-Verbänden, Math. Z. 142 (1975), 47–65
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Herrmann, C. Erratum: On the Contractions of Vectorial Lattice Representations. Order 22, 83–84 (2005). https://doi.org/10.1007/s11083-005-9000-2
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DOI: https://doi.org/10.1007/s11083-005-9000-2