A characterization of K-ary algebraic categories.
A contribution to the theory of decompositions of partial algebras
A generalization of a theorem of Skala
A generalization of Płonka sums
A matrix characterization of the maximal groups in
A note on homotopy in universal algebra
A note on triangular schemes for weak congruences
Some geometrical methods, the so called Triangular Schemes and Principles, are introduced and investigated for weak congruences of algebras. They are analogues of the corresponding notions for congruences. Particular versions of Triangular Schemes are equivalent to weak congruence modularity and to weak congruence distributivity. For algebras in congruence permutable varieties, stronger properties—Triangular Principles—are equivalent to weak congruence modularity and distributivity.
À propos des théories de Galois finies et infinies
-systems
A universal algebra approach to free projective planes.
A universal algebra approach to free projective planes. (Short Communication).
Abelian differential modes are quasi-affine
We study a class of strongly solvable modes, called differential modes. We characterize abelian algebras in this class and prove that all of them are quasi-affine, i.e., they are subreducts of modules over commutative rings.
Abstract Characterizations of Continuous Functions.
Abstract Characterizations of Continuous Functions. (Short Communication).
Algebraic lattices are complete sublattices of the clone lattice over an infinite set
The clone lattice Cl(X) over an infinite set X is a complete algebraic lattice with compact elements. We show that every algebraic lattice with at most compact elements is a complete sublattice of Cl(X).
Algebraicity of endomorphisms of some relational structures
Algebras presented by normal identities
Algorithmization of algebras and relational structures
All completely regular elements in
In Universal Algebra, identities are used to classify algebras into collections, called varieties and hyperidentities are use to classify varieties into collections, called hypervarities. The concept of a hypersubstitution is a tool to study hyperidentities and hypervarieties. Generalized hypersubstitutions and strong identities generalize the concepts of a hypersubstitution and of a hyperidentity, respectively. The set of all generalized hypersubstitutions forms a monoid. In...
Almost direct products and saturation