On the structure of semilattice sums
Anna B. Romanowska, Jonathan D. H. Smith (1991)
Czechoslovak Mathematical Journal
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Displaying similar documents to “Semilattices of finite arithmetical algebras”
On the structure of semilattice sums
Tolerances and orderings on semilattices
Ivan Chajda, Juhani Nieminen, Bohdan Zelinka (1983)
Archivum Mathematicum
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GMV-algebras and meet-semilattices with sectionally antitone permutations
Ivan Chajda, Jan Kühr (2006)
Mathematica Slovaca
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Congruences on semilattices with section antitone involutions
Ivan Chajda (2010)
Discussiones Mathematicae - General Algebra and Applications
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We deal with congruences on semilattices with section antitone involution which rise e.g., as implication reducts of Boolean algebras, MV-algebras or basic algebras and which are included among implication algebras, orthoimplication algebras etc. We characterize congruences by their kernels which coincide with semilattice filters satisfying certain natural conditions. We prove that these algebras are congruence distributive and 3-permutable.