Representation-directed algebras form an open scheme

• Autorzy: Stanislaw Kasjan
• Języki publikacji: EN

Abstrakty

EN

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 ℤ-scheme.

Kategorie tematyczne

• 03C60: Model-theoretic algebra
• 16G30: Representations of orders, lattices, algebras over commutative rings
• 16G60: Representation type (finite, tame, wild, etc.)
• 16G70: Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers
• 16B70: Applications of logic

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 93
• Numer: 2
• Strony: 237-250

Daty

wydano

2002

Twórcy

autor

Stanislaw Kasjan

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

Identyfikatory

DOI

10.4064/cm93-2-3