K. Kearnes

activity

19962026

most citedGrowth rates of algebras, I: pointed cube terms

8 citations · 19 across the 18 of their papers we have counts for

collaborators

Showing 2020Show all

4 papers · 1 filter

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.LO2020

Ultralocally Closed Clones

Keith A. Kearnes, Agnes Szendrei

Given a clone C on a set A, we characterize the clone of operations on A which are local term operations of every ultrapower of the algebra $(A; C)$ .

A note on "A minimal congruence lattice representation for Mp+1​''

Neutrabelian algebras

Representing subalgebras as retracts of finite subdirect powers

Ultralocally Closed Clones

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