Representation-directed algebras form an open scheme

Volume 93 / 2002

Stanislaw Kasjan Colloquium Mathematicum 93 (2002), 237-250 MSC: 16G60, 16G30, 16G70, 03C60, 16B70. DOI: 10.4064/cm93-2-3


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.


  • Stanislaw KasjanFaculty of Mathematics and Computer Science
    Nicholas Copernicus University
    Chopina 12/18
    87-100 Toruń, Poland

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