Representation-directed algebras form an open scheme
Volume 93 / 2002
Colloquium Mathematicum 93 (2002), 237-250
MSC: 16G60, 16G30, 16G70, 03C60, 16B70.
DOI: 10.4064/cm93-2-3
Abstract
We apply van den Dries's test to the class of algebras (over algebraically closed fields) which are not representation-directed and prove that this class is axiomatizable by a positive quantifier-free formula. It follows that the representation-directed algebras form an open ${{\mathbb Z}}$-scheme.
