Subdirectly irreducible decomposition of some algebras having the semilattice structure
Tadeusz Wesołowski (1990)
Mathematica Slovaca
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Tadeusz Wesołowski (1990)
Mathematica Slovaca
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Cándida Palma (2006)
Mathematica Slovaca
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Filip Krajník, Miroslav Ploščica (2014)
Czechoslovak Mathematical Journal
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We say that a variety of algebras has the Compact Intersection Property (CIP), if the family of compact congruences of every is closed under intersection. We investigate the congruence lattices of algebras in locally finite, congruence-distributive CIP varieties and obtain a complete characterization for several types of such varieties. It turns out that our description only depends on subdirectly irreducible algebras in and embeddings between them. We believe that the strategy...
Hector Gramaglia (2004)
Mathematica Bohemica
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We obtain a simple construction for particular subclasses of several varieties of lattice expansions. The construction allows a unified approach to the characterization of the subdirectly irreducible algebras