25 citations · 39 across the 40 of their papers we have counts for
4 papers · 1 filter
Integration in semirings
Ivan Chajda, Helmut Länger
The concept of integral as an inverse to that of derivation was already introduced for rings and recently also for lattices. Since semirings generalize both rings and bounded distr…
An algebraic analysis of implication in non-distributive logics
Ivan Chajda, Kadir Emir, Davide Fazio +3
In this paper, we introduce the concept of a (lattice) skew Hilbert algebra as a natural generalization of Hilbert algebras. This notion allows a unified treatment of several struc…
Join-semilattices whose principal filters are pseudocomplemented lattices
Ivan Chajda, Helmut Länger
This paper deals with join-semilattices whose sections, i.e. principal filters, are pseudocomplemented lattices. The pseudocomplement of a\vee b in the section [b,1] is denoted by…
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…