16 citations · 44 across the 22 of their papers we have counts for
7 papers · 1 filter
Another look on tense and related operators
Michal Botur, Jan Paseka, Richard Smolka
Motivated by the classical work of Halmos on functional monadic Boolean algebras we derive three basic sup-semilattice constructions, among other things the so-called powersets and…
On generating of idempotent aggregation functions on finite lattices
Michal Botur, Radomír Halaš, Radko Mesiar +1
In a recent paper we proposed the study of aggregation functions on lattices via clone theory approach. Observing that aggregation functions on lattices just correspond to -mo…
The Conrad Program: From l-groups to algebras of logic
Michal Botur, Jan Kühr, Lianzhen Liu +1
A number of research articles have established the significant role of lattice-ordered groups (l-groups) in logic. The purpose of the present article is to lay the groundwork for,…
Two-sided wreath product done right
Michal Botur, Tomasz Kowalski
We investigate a semigroup construction related to the two-sided wreath product. It encompasses a range of known constructions and gives a slightly finer version of the decompositi…
Kites and Residuated Lattices
Michal Botur, Anatolij Dvurečenskij
We investigate a construction of an integral residuated lattice starting from an integral residuated lattice and two sets with an injective mapping from one set into the second one…
Kite -Perfect Pseudo Effect Algebras
Michal Botur, Anatolij Dvurečenskij
Kite pseudo effect algebras were recently introduced as a class of interesting examples of pseudo effect algebras using a po-group, an index set and two bijections on the index set…