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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm171-1-3,
author = {Stanis\l aw Kasjan},
title = {On the problem of axiomatization of tame representation type},
journal = {Fundamenta Mathematicae},
volume = {173},
year = {2002},
pages = {53-67},
zbl = {0997.16008},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm171-1-3}
}
Stanisław Kasjan. On the problem of axiomatization of tame representation type. Fundamenta Mathematicae, Tome 173 (2002) pp. 53-67. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm171-1-3/