4 papers
Higher Kiss Terms
Andrew Moorhead
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.…
Supernilpotent Taylor algebras are nilpotent
Andrew Moorhead
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 call…
Supernilpotence Need Not Imply Nilpotence
Matthew Moore, Andrew Moorhead
Supernilpotence is a generalization of nilpotence using a recently developed theory of higher-arity commutators for universal algebras. Many important structural properties have be…
Some notes on the ternary modular commutator
Andrew Moorhead
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…