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Decompositions in Complete Lattices

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Abstract

We give descriptions of lattices that have (unique) irredundant decompositions and decompositions with the replacement property in a class of fully join semidistributive upper continuous lattices and in a class of upper and lower continuous lattices. In particular, it is stated that unique irredundant decompositions in the classes in question coincide with minimal.

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  1. Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Russia

    M. V. Semyonova

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  1. M. V. Semyonova
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Semyonova, M.V. Decompositions in Complete Lattices. Algebra and Logic 40, 384–390 (2001). https://doi.org/10.1023/A:1013703825890

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