18 citations · 38 across the 8 of their papers we have counts for
6 papers · 1 filter
Varieties whose finitely generated members are free
Keith A. Kearnes, Emil W. Kiss, Agnes Szendrei
We prove that a variety of algebras whose finitely generated members are free must be definitionally equivalent to the variety of sets, the variety of pointed sets, a variety of ve…
Growth rates of algebras, I: pointed cube terms
Keith A. Kearnes, Emil W. Kiss, Agnes Szendrei
We investigate the function d_A(n), which gives the size of a least size generating set for A^n.
Growth Rates of Algebras, II: Wiegold Dichotomy
Keith A. Kearnes, Emil W. Kiss, Agnes Szendrei
We investigate the function , which gives the size of a least size generating set for , in the case where has a cube term. We show that…
Growth Rates of Algebras, III: Growth Rates of Solvable Algebras
Keith A. Kearnes, Emil W. Kiss, Ágnes Szendrei
We investigate how the behavior of the function d_A(n) that gives the size of a least size generating set for A^n, influences the structure of a finite solvable algebra A.
Varieties whose tolerances are homomorphic images of their congruences
Gabor Czedli, Emil W. Kiss
The homomorphic image of a congruence is always a tolerance (relation) but, within a given variety, a tolerance is not necessarily obtained this way. By a Maltsev-like condition, w…
Modularity prevents tails
Keith A. Kearnes, Emil W. Kiss
We establish a direct correspondence between two congruence poroperties for finite algebras. The first property is that minimal sets of type i omit tails. The second property is th…