21 citations · 50 across the 15 of their papers we have counts for
5 papers · 1 filter
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…
Algebras from Congruences
Peter Mayr, Agnes Szendrei
We present a functorial construction which, starting from a congruence of finite index in an algebra A, yields a new algebra C with the following properties: the congruence lat…
Is supernilpotence super nilpotence?
Keith A. Kearnes, Ágnes Szendrei
We show that the answer to the question in the title is: ``Yes, for finite algebras.''
Random Models of Idempotent Linear Maltsev Conditions. I. Idemprimality
Clifford Bergman, Agnes Szendrei
We extend a well-known theorem of Murski\vı to the probability space of finite models of a system of identities of a strong idempotent linear Maltsev condition. We ch…
Divisibility Theory of Commutative Rings and Ideal Distributivity
P. N. Anh, Keith A. Kearnes, Agnes Szendrei
We begin by investigating the class of commutative unital rings in which no two distinct elements divide the same elements. We prove that this class forms a finitely axiomatizable,…