Abstract
We prove the claim in the title based on failure of amalgamation for classes of non-distributive modular lattices.
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Herrmann, C. Homogeneous Modular Lattices are Distributive. Order 33, 359–363 (2016). https://doi.org/10.1007/s11083-015-9371-y
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DOI: https://doi.org/10.1007/s11083-015-9371-y