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Maeda-type Decomposition of CJ-generated Algebraic Lattices

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Southeast Asian Bulletin of Mathematics

Abstract

We prove necessary and sufficient conditions for the decomposition of an arbitrary CJ-generated algebraic lattice into a direct product of subdirectly irreducible lattices. We generalize earlier results due to F. Maeda, T. Katriňák and the present author. New structure theorems for two classes of CJ-generated algebraic lattices are also obtained.

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Authors and Affiliations

  1. Institute of Mathematics, University of Miskolc, 3515, Miskolc, Hungary

    S. Radeleczki

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  1. S. Radeleczki
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Correspondence to S. Radeleczki.

Additional information

AMS Subject Classification (1991) 06B05 06B10

Research partially supported by Hungarian National foundation for Scientific Research, Grant No. T029525 and T030243 and by János Bolyai Grant of Hungarian Academy of Science.

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Radeleczki, S. Maeda-type Decomposition of CJ-generated Algebraic Lattices. SEA bull. math. 25, 503–513 (2002). https://doi.org/10.1007/s10012-001-0503-5

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  • DOI: https://doi.org/10.1007/s10012-001-0503-5

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