18 citations · 38 across the 8 of their papers we have counts for
11 papers
What is the weakest idempotent Maltsev condition that implies that abelian tolerances generate abelian congruences?
Keith A. Kearnes, Emil W. Kiss
We answer the question in the title. In the process, we correct an error in our AMS Memoir The Shape of Congruence Lattices.
Minimal abelian varieties of algebras, I
Keith A. Kearnes, Emil W. Kiss, Agnes Szendrei
We show that any abelian variety that is not affine has a nontrivial strongly abelian subvariety. In later papers in this sequence we apply this result to the study of minimal abel…
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…
Cubes of integral vectors in dimension four
Emil W. Kiss, Péter Kutas
A system of nonzero vectors in is called an -icube if they are pairwise orthogonal and have the same length. The paper describes -icubes in …
Sums of squares and orthogonal integral vectors
Lee M. Goswick, Emil W. Kiss, Gabor Moussong +1
Two vectors in $\BZ^3$ are called \emph{twins} if they are orthogonal and have the same length. The paper describes twin pairs using cubic lattices, and counts the number of twin p…
On tractability and congruence distributivity
Emil Kiss, Matthew Valeriote
Constraint languages that arise from finite algebras have recently been the object of study, especially in connection with the Dichotomy Conjecture of Feder and Vardi. An important…
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…