What is the upper part of the lattice of bimodal logics?

Studia Logica 53 (2):235 - 241 (1994)
We define an embedding from the lattice of extensions ofT into the lattice of extensions of the bimodal logic with two monomodal operators 1 and 2, whose 2-fragment isS5 and 1-fragment is the logic of a two-element chain. This embedding reflects the fmp, decidability, completenes and compactness. It follows that the lattice of extension of a bimodal logic can be rather complicated even if the monomodal fragments of the logic belong to the upper part of the lattice of monomodal logics.
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    References found in this work BETA
    R. A. Bull (1966). That All Normal Extensions of S4.3 Have the Finite Model Property. Zeitschrift für Mathematische Logik Und Grundlagen der Mathematik 12 (1):341-344.
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