Note on homomorphisms of direct products of algebras
Notes on distributive groupoids
On certain functions defined in universal algebras. (Sur certaines fonctions définies dans des algèbres universelles.)
On congruence lattices in a category
On exponentiation on n-ary hyperalgebras
For n-ary hyperalgebras we study a binary operation of exponentiation which to a given pair of n-ary hyperalgebras assigns their power, i.e., an n-ary hyperalgebra carried by the corresponding set of homomorphisms. We give sufficient conditions for the existence of such a power and for a decent behaviour of the exponentiation. As a consequence of our investigations we discover a cartesian closed subcategory of the category of n-ary hyperalgebras and homomorphisms between them.
On normal Agassiz systems of algebras
On some properties of the family of independent sets in abstract algebras
On subdirect irreducibility and its variants
On the homology theory of categories. I.
On the homology theory of categories. II.
On the number of closed subsets of linear functions in the 6-valued logic
On weak Agassiz systems of algebras
One-element extensions of distributive groupoids
Produkte von Kongruenzklassengeometrien universeller Algebren.
Remarks on tolerance algebras
Simplicity of algebras requires to investigate almost all operations
Some embedding theorems.
Standard cohomology of semigroups
Sur la règle de simplification.
The algebraic structure of pseudomeadow
The purpose of this paper is to study the commutative pseudomeadows, the structure which is defined in the same way as commutative meadows, except that the existence of a multiplicative identity is not required. We extend the characterization of finite commutative meadows, given by I. Bethke, P. Rodenburg, and A. Sevenster in their paper (2015), to the case of commutative pseudomeadows with finitely many idempotents. We also extend the well-known characterization of general commutative meadows as...