9 papers · 1 filter
Lattices and semilattices derived from commutative rings of characteristic 2 satisfying the identity
Ivan Chajda, Miroslav KolaÅÃk, Helmut Länger
We prove that a commutative ring of characteristic satisfying the identity together with the binary relation on defined by…
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…
Lagrange-like interpolation in unitary rings, Boolean algebras and Boolean posets
Ivan Chajda, Helmut Länger
It is known that every function with a finite support over a given field can be interpolated by means of the Lagrangian polynomial. The question is if a similar interpolation is po…
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…
Derived operators on skew orthomodular and strong skew orthomodular posets
Ivan Chajda, Helmut Länger
It is well-known that in the logic of quantum mechanics disjunctions and conjunctions can be represented by joins and meets, respectively, in an orthomodular lattice provided their…
Adjointness of generalized Sasaki operations in posets
Ivan Chajda, Helmut Länger
The Sasaki projection and its dual were introduced as a mapping from the lattice of closed subspaces of a Hilbert space onto one of its segments. In a previous paper the authors sh…