K. Kearnes

activity

20182020

collaborators

8 papers

math.GR2020

A note on "A minimal congruence lattice representation for $M_{p + 1}$ ''

Keith A. Kearnes

We reprove a theorem of Bunn, Grow, Insall, and Thiem, which asserts that a minimal congruence lattice representation for $M_{p + 1}$ has size $2 p$ , and is an expansion of a…

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.GR2020

Representing subalgebras as retracts of finite subdirect powers

Keith A. Kearnes, Alexander Rasstrigin

We prove that if $A$ is an algebra that is supernilpotent with respect to the $2$ -term higher commutator, and $B$ is a subalgebra of $A$ , then $B$ i…

math.LO2019

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…

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.LO2019

An uncountable Jónsson algebra in a minimal variety

Jordan DuBeau, Keith A. Kearnes

We construct a Jónsson algebra of cardinality $ω_{1}$ in the variety of Jónsson-Tarski algebras.