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Separation properties in congruence lattices of lattices

100%

Ploščica M.

Colloquium Mathematicum

2000

tom 83

nr 1

71-84

We investigate the congruence lattices of lattices in the varieties $ℳ _n$. Our approach is to represent congruences by open sets of suitable topological spaces. We introduce some special separation properties and show that for different n the lattices in $ℳ _n$ have different congruence lattices.

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Balanced d-lattices are complemented

63%

Goldstern M., Ploščica M.

Discussiones Mathematicae - General Algebra and Applications

2002

tom 22

nr 1

33-37

We characterize d-lattices as those bounded lattices in which every maximal filter/ideal is prime, and we show that a d-lattice is complemented iff it is balanced iff all prime filters/ideals are maximal.

Congruence lattices of free lattices in non-distributive varieties

51%

Ploščica M., Tůma J., Wehrung F.

Colloquium Mathematicum

1998

tom 76

nr 2

269-278

Ograniczanie wyników

2 Colloquium Mathematicum

1 Discussiones Mathematicae - General Algebra and Applications

3 Ploščica M.

1 Goldstern M.

1 Tůma J.

1 Wehrung F.

1 2002

1 2000

1 1998

Wyniki wyszukiwania

Separation properties in congruence lattices of lattices

Balanced d-lattices are complemented

Congruence lattices of free lattices in non-distributive varieties