Separation in distributive congruence lattices |
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Authors: | Miroslav Ploščica |
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Affiliation: | 1.Mathematical Institute, Slovak Academy of Sciences, Gre?ákova 6, 04001 Ko?ice, Slovakia, e-mail: ploscica@saske.sk,SK |
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Abstract: | We define separable sets in algebraic lattices. For a finitely generated congruence distributive variety V mathcal{V} , we show a close connection between non-separable sets in congruence lattices of algebras in V mathcal{V} and the structure of subdirectly irreducible algebras in V mathcal{V} . We apply the general results to some lattice varieties. |
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