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math.CO2026
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…
math.CO2025
Congruences on posets, relatively pseudocomplemented and Boolean posets
Ivan Chajda, Helmut Länger
The aim of the present paper is to extend the concept of a congruence from lattices to posets. We use an approach different from that used by the first author and V. Snášel. By u…
math.CO2024
Induced orthogonality in semilattices with 0 and in pseudocomplemented lattices and posets
Ivan Chajda, Miroslav KolaÅÃk, Helmut Länger
On an arbitrary meet-semilattice S with 0 we define an orthogonality relation and investigate the lattice Cl(S) of all subsets of S closed under this orthogonality. We show that if…