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A class of algebras \(A\) with Sub \(A\) anti-isomorphic to Con \(A\) - MaRDI portal

A class of algebras \(A\) with Sub \(A\) anti-isomorphic to Con \(A\) (Q1333300)

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scientific article; zbMATH DE number 638602
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A class of algebras \(A\) with Sub \(A\) anti-isomorphic to Con \(A\)
scientific article; zbMATH DE number 638602

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    A class of algebras \(A\) with Sub \(A\) anti-isomorphic to Con \(A\) (English)
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    6 November 1994
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    It is proved that for any finite non-empty lattice \(L\) with \((L,\vee) \cong (L,\wedge)\), the subalgebra lattice of \((L,\vee,0)\) is anti- isomorphic to the congruence lattice of \((L,\vee,0)\).
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    subalgebra lattice
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    congruence lattice
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