25 citations · 39 across the 40 of their papers we have counts for
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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…
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 usi…
A characterization of permutability of 2-uniform tolerances on posets
Ivan Chajda, Helmut Länger
Tolerance relations were investigated by several authors in various algebraic structures, see e.g. the monograph by I. Chajda. Recently G. Czédli studied so-called 2-uniform tolera…
Monotone and cone preserving mappings on posets
Ivan Chajda, Helmut Länger
We define several sorts of mappings on a poset like monotone, strictly monotone, upper cone preserving and variants of these. Our aim is to characterize posets in which some of the…