3 papers
math.RA2026
Varieties and quasivarieties of lattices with complementation
V. Cenker, I. Chajda, J. Kühr +1
We investigate (quasi)varieties of lattices with complementation, i.e., complemented lattices equipped with a fixed complementation as a unary operation. We focus on subclasses sat…
math.RA2025
Properties of the symmetric difference in lattices with complementation
Václav Cenker, Ivan Chajda, Helmut Länger
The symmetric difference in Boolean lattices can be defined in two different but equivalent forms. However, it can be introduced also in every bounded lattice with complementation…
math.LO2024
The variety of complemented lattices where the Sasaki operations form an adjoint pair
Václav Cenker, Ivan Chajda, Helmut Länger
The Sasaki projection was introduced as a mapping from the lattice of closed subspaces of a Hilbert space onto one of its segments. To use this projection and its dual so-called Sa…