Distributive lattices with an operator
Copyright policy )Distributive lattices with an operator
A \(j\)-distributive lattice is an algebra \((L, \vee, \wedge,j, 0, 1)\) such that \((L, \vee, \wedge, 0, 1)\) is a bounded distributive lattice and \(j : L \to L\) is a join-homomorphism. Congruences of \(j\)-distributive lattices are described in terms of corresponding dual spaces, and simple and subdirectly irreducible algebras are characterized for several conditions imposed on \(j\).
- University of Buenos Aires Argentina
- Facultad de Ciencias Agrarias y Forestales Argentina
Distributive lattices, Priestley relation, Priestley space, congruence, \(j\)-distributive lattice, join-homomorphism, dual spaces, bounded distributive lattice, subdirectly irreducible algebras
Distributive lattices, Priestley relation, Priestley space, congruence, \(j\)-distributive lattice, join-homomorphism, dual spaces, bounded distributive lattice, subdirectly irreducible algebras
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