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Start Over Descriptor "Weakly distributive" Publisher academic press inc.
1 results on '"Weakly distributive"'

1. A solution to Dilworth's congruence lattice problem

Author

Wehrung, Friedrich

Subjects
*LATTICE theory, *GROUP theory, *ABSTRACT algebra, *DISTRIBUTIVE lattices
Abstract

Abstract: We construct an algebraic distributive lattice D that is not isomorphic to the congruence lattice of any lattice. This solves a long-standing open problem, traditionally attributed to R.P. Dilworth, from the forties. The lattice D has a compact top element and compact elements. Our results extend to any algebra possessing a congruence-compatible structure of a join-semilattice with a largest element. [Copyright &y& Elsevier]

Published
2007
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