13 papers
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…
Residuated mappings and homomorphisms in posets
Ivan Chajda, Helmut Länger
The concept of weakly regular residuated mappings was investigated for lattices recently by S. Radeleczki and L. Veres. We modify this concept for posets. We define so-called opera…
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…
A Cayley theorem for posets
Ivan Chajda, Helmut Länger
We show that every poset P=(P,\le) satisfying the Ascending Chain Condition can be isomorphically embedded into the poset of all mappings from P to the set A(P) of all antichains o…
Operators on complemented posets
Michal Botur, Ivan Chajda, Helmut Länger
Given a complemented poset P, we can assign to every element x of P the set x^+ of all its complements. We study properties of the operator ^+ on P, in particular, we are intereste…
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…