• Publications
  • Influence
Higher commutator theory for congruence modular varieties
Abstract We develop the basic properties of the higher commutator for congruence modular varieties.
Supernilpotence need not imply nilpotence
Abstract Supernilpotence is a generalization of nilpotence using a recently developed theory of higher-arity commutators for universal algebras. Many important structural properties have been shownExpand
Some notes on the ternary modular commutator
We define a relation that describes the ternary commutator for congruence modular varieties. Properties of this relation are used to investigate the theory of the higher commutator for congruenceExpand
Higher Kiss Terms
We show that the modular term condition higher commutator is equal to the modular hypercommutator. As a consequence, we arrive at a new proof that HC8 holds for modular varieties. Next, we develop aExpand
Supernilpotent Taylor algebras are nilpotent
We develop the theory of the higher commutator for Taylor varieties. A new higher commutator operation called the hypercommutator is defined using a type of invariant relation called a higherExpand