On the problem of axiomatization of tame representation type
Tom 171 / 2002
Fundamenta Mathematicae 171 (2002), 53-67
MSC: 16G60, 03C60, 03C98.
DOI: 10.4064/fm171-1-3
Streszczenie
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.
