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Maeda-type decomposition of CJ-generated algebraic lattices. (English) Zbl 1010.06007

The author proves necessary and sufficient conditions for the decomposition of an arbitrary CJ-generated algebraic lattice into a direct product of subdirectly irreducible lattices. He generalizes earlier results due to F. Maeda, T. Katriňák and the author. He also obtains structure theorems for two classes of CJ-generated algebraic lattices.

MSC:

06B05 Structure theory of lattices
06B10 Lattice ideals, congruence relations
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