51 citations · 81 across the 11 of their papers we have counts for
11 papers · 1 filter
On centralizers of finite lattices and semilattices
Endre Tóth, Tamás Waldhauser
We study centralizer clones of finite lattices and semilattices. For semilattices, we give two characterizations of the centralizer and also derive formulas for the number of opera…
Multiplication of matrices over lattices
Kamilla Kátai-Urbán, Tamás Waldhauser
We study the multiplication operation of square matrices over lattices. If the underlying lattice is distributive, then matrices form a semigroup; we investigate idempotent and nil…
Solution sets of systems of equations over finite lattices and semilattices
Endre Tóth, Tamás Waldhauser
Solution sets of systems of homogeneous linear equations over fields are characterized as being subspaces, i.e., sets that are closed under linear combinations. Our goal is to char…
On composition-closed classes of Boolean functions
Tamás Waldhauser
We determine all composition-closed equational classes of Boolean functions. These classes provide a natural generalization of clones and iterative algebras: they are closed under…
On associative spectra of operations
Sebastian Liebscher, Tamás Waldhauser
The distance of an operation from being associative can be "measured" by its associative spectrum, an appropriate sequence of positive integers. Associative spectra were introduced…
Minimal clones with few majority operations
Tamás Waldhauser
We characterize minimal clones generated by a majority function containing at most seven ternary operations.