Functions which are defined on finite sets occur in almost all fields of mathematics. For more
than 80 years algebras whose universes are such functions (so-called function algebras) …

We clarify the relationship between the linear commutator and the ordinary commutator by
showing that in any variety satisfying a nontrivial idempotent Mal'cev condition the linear …

We show that every idempotent simple algebra which has a skew congruence in a power
either has an absorbing element or is a subreduct of an affine module. We refine this result …

This paper considers the lattice of subquasivarieties of a regular variety. In particular we
show that if V is a strongly irregular variety that is minimal as a quasivariety, then the …

As will be pointed out in Section 2, among the maximal closed subclasses of the class of all
functions over a nonvoid set A with\A\= pk (p prime, pk> 3), the maximal classes of …

The algebras forming the main topic of this paper are modes, ie they are idempotent, in the
sense that each singleton is a subalgebra, and they are entropic, ie each operation, as a …

Untitled Page 1 1 Page 2 Discussiones Mathematicae Algebra and Stochastic Methods 18(1998)
xx–xx IDENTITIES FOR CLASSES OF ALGEBRAS CLOSED UNDER THE COMPLEX …

We study the algorithmic complexity of determining whether a system of polynomial
equations over a finite algebra admits a solution. We prove that the problem has a …

ENRICHMENTS OF AFFINE SPACES AND ALGEBRAS OF SUBALGEBRAS Page 1
ENRICHMENTS OF AFFINE SPACES AND ALGEBRAS OF SUBALGEBRAS Agata …

The article is devoted to classification of closed sets of functions in k-valued logic. We build
the classification of finite closed sets. The sets contain only constants and one-ary functions …