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

Radeleczki, S.

Southeast Asian Bull. Math. 25, No. 3, 503-513 (2001).

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.

Reviewer: Manuel Abad (Bahia Blanca)

MSC:

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

Keywords:

completely join-irreducible elements; standard elements; Stone lattice; decomposition; CJ-generated algebraic lattice; direct product; subdirectly irreducible lattices; structure theorems