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The Shape of Congruence Lattices

- K. Kearnes, E. W. Kiss
- Mathematics
- 28 February 2013

Introduction Preliminary notions Strong term conditions Meet continuous congruence identities Rectangulation A theory of solvability Ordinary congruence identities Congruence meet and join… Expand

Optimal strong Mal’cev conditions for omitting type 1 in locally finite varieties

- K. Kearnes, P. Markovic, R. McKenzie
- Mathematics
- 31 May 2014

We show that the class of locally finite varieties omitting type 1 has the following properties. This class is:(1)definable by an idempotent, linear, strong Mal’cev condition in a language with one… Expand

The Relationship Between Two Commutators

- K. Kearnes, Á. Szendrei
- Mathematics, Computer Science
- Int. J. Algebra Comput.
- 1 April 1996

TLDR

Congruence modular varieties with small free spectra

- K. Kearnes
- Mathematics
- 1 November 1999

Abstract. Let A be a finite algebra that generates a congruence modular variety. We show that the free spectrum of
${\cal V}({\bf A})$ fails to have a doubly exponentially lower bound if and only if… Expand

An Order-Theoretic Property of the Commutator

- K. Kearnes
- Mathematics, Computer Science
- Int. J. Algebra Comput.
- 1 December 1993

TLDR

Semilattice modes I: the associated semiring

- K. Kearnes
- Mathematics
- 1 June 1995

We examine idempotent, entropic algebras (modes) which have a semilattice term. We are able to show that any variety of semilattice modes has the congruence extension property and is residually… Expand

An easy test for congruence modularity

- Topaz Dent, K. Kearnes, Á. Szendrei
- Mathematics
- 7 April 2012

We describe an easy way to determine whether the realization of a set of idempotent identities guarantees congruence modularity or the satisfaction of a nontrivial congruence identity. Our results… Expand

Clones of finite groups

- K. Kearnes, Á. Szendrei
- Mathematics
- 1 October 2005

Abstract.If G is a finite group whose Sylow subgroups are abelian, then the term operations of G are determined by the subgroups of G × G × G.

Commutator theory for relatively modular quasivarieties

- K. Kearnes, R. McKenzie
- Mathematics
- 1 February 1992

We develop a commutator theory for relatively modular quasivarieties that extends the theory for modular varieties. We characterize relatively modular quasivarieties, prove that they have an… Expand

Residually finite, congruence meet-semidistributive varieties of finite type have a finite residual bound

- R. Willard, K. Kearnes
- Mathematics
- 17 June 1999

We show that a residually finite, congruence meet-semidistributive variety of finite type is residually < N for some finite N . This solves Pixley’s problem and a special case of the restricted… Expand

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