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Rotations of λ -lattices

Jiří Karásek (1996)

Mathematica Bohemica

In [2], J. Klimes studied rotations of lattices. The aim of the paper is to research rotations of the so-called l -lattices introduced in [3] by V. Snasel.

Semimodularity in lower continuous strongly dually atomic lattices

Andrzej Walendziak (1996)

Archivum Mathematicum

For lattices of finite length there are many characterizations of semimodularity (see, for instance, Grätzer [3] and Stern [6]–[8]). The present paper deals with some conditions characterizing semimodularity in lower continuous strongly dually atomic lattices. We give here a generalization of results of paper [7].

Separation properties in congruence lattices of lattices

Miroslav Ploščica (2000)

Colloquium Mathematicae

We investigate the congruence lattices of lattices in the varieties 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 n have different congruence lattices.

Sequential convergences in lattices

Ján Jakubík (1992)

Mathematica Bohemica

The notion of sequential convergence on a lattice is defined in a natural way. In the present paper we investigate the system C o n v L of all sequential convergences on a lattice L .

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