On the number of polynomials of a universal algebra, II
On the number of polynomials of a universal algebra, III
On traces of maximal clones.
On universal algebras having bases of different cardinalities
On varieties generated by Boolean clones.
On varieties of clones.
One interval in the lattice of partial hyperclones
In this paper the structure of the interval in the lattice of partial hyperclones is determined, where is the clone of all total operations and is the clone of all partial hyperoperations on .
One-generated clones of operations on binary relations
Order affine completeness of lattices with Boolean congruence lattices
This paper grew out from attempts to determine which modular lattices of finite height are locally order affine complete. A surprising discovery was that one can go quite far without assuming the modularity itself. The only thing which matters is that the congruence lattice is finite Boolean. The local order affine completeness problem of such lattices easily reduces to the case when is a subdirect product of two simple lattices and . Our main result claims that such a lattice is locally...
Orthorings
Certain ring-like structures, so-called orthorings, are introduced which are in a natural one-to-one correspondence with lattices with 0 every principal ideal of which is an ortholattice. This correspondence generalizes the well-known bijection between Boolean rings and Boolean algebras. It turns out that orthorings have nice congruence and ideal properties.
Pairwise intersections of Słupecki type maximal partial clones.
Polyabelian loops and Boolean completeness
We consider the question of which loops are capable of expressing arbitrary Boolean functions through expressions of constants and variables. We call this property Boolean completeness. It is a generalization of functional completeness, and is intimately connected to the computational complexity of various questions about expressions, circuits, and equations defined over the loop. We say that a loop is polyabelian if it is an iterated affine quasidirect product of Abelian groups; polyabelianness...
Polynomial and Term Functions over Groups with Coprime Chief Factors.
Polynomial functions over finite monoids.
Polynomial functions over monoids.
Polynomials in idempotent commutative groupoids [Book]
Polynomials in topological algebras
Polynomials over the permutation group of three elements
Präprimale Algebren, die arithmetische Varietäten erzeugen
Rectangular groupoids