8 citations · 19 across the 18 of their papers we have counts for
4 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…
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.''
An uncountable Jónsson algebra in a minimal variety
Jordan DuBeau, Keith A. Kearnes
We construct a Jónsson algebra of cardinality in the variety of Jónsson-Tarski algebras.
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,…