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Displaying similar documents to “Properties of complements in the lattice of convergence structures.”

A non commutative generalization of ☆ -autonomous lattices

P. Emanovský, Jiří Rachůnek (2008)

Czechoslovak Mathematical Journal

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Pseudo ☆ -autonomous lattices are non-commutative generalizations of ☆ -autonomous lattices. It is proved that the class of pseudo ☆ -autonomous lattices is a variety of algebras which is term equivalent to the class of dualizing residuated lattices. It is shown that the kernels of congruences of pseudo ☆ -autonomous lattices can be described as their normal ideals.