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math.RA2020
Neutrabelian algebras
Keith A. Kearnes, Connor Meredith, Agnes Szendrei
We introduce "neutrabelian algebras", and prove that finite, hereditarily neutrabelian algebras with a cube term are dualizable.
math.RA2019
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.''
math.RA2019
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,…