3 papers
math.CO2024
Induced orthogonality in semilattices with 0 and in pseudocomplemented lattices and posets
Ivan Chajda, Miroslav Kolařík, 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…
math.RA2023
Special filters in bounded lattices
Ivan Chajda, Miroslav Kolařík, Helmut Länger
M.S. Rao recently investigated some sorts of special filters in distributive pseudocomplemented lattices. In our paper we extend this study to lattices which need neither be distri…
math.RA2022
c-ideals in complemented posets
Ivan Chajda, Miroslav Kolařík, Helmut Länger
In their recent paper on posets with a pseudocomplementation denoted by * the first and the third author introduced the concept of a *-ideal. This concept is in fact an extension o…