On the problem of axiomatization of tame representation type

• Autorzy: Stanisław Kasjan
• Języki publikacji: EN

Abstrakty

EN

Associative algebras of fixed dimension over algebraically closed fields of fixed characteristic are considered. It is proved that the class of algebras of tame representation type is axiomatizable. Moreover, finite axiomatizability of this class is equivalent to the conjecture that the algebras of tame representation type form a Zariski-open subset in the variety of algebras.

Kategorie tematyczne

• 03C98: Applications of model theory
• 03C60: Model-theoretic algebra
• 16G60: Representation type (finite, tame, wild, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2002
• Tom: 171
• Numer: 1
• Strony: 53-67

Daty

wydano

2002

Twórcy

autor

Stanisław Kasjan

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

Identyfikatory

DOI

10.4064/fm171-1-3