On the problem of axiomatization of tame representation type

Stanisław Kasjan. "On the problem of axiomatization of tame representation type." Fundamenta Mathematicae 171.1 (2002): 53-67. <http://eudml.org/doc/283002>.

@article{StanisławKasjan2002,
abstract = {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.},
author = {Stanisław Kasjan},
journal = {Fundamenta Mathematicae},
keywords = {tame representation type; Zariski-open sets; axiomatisable classes; varieties of algebras; finite-dimensional algebras; structure constants},
language = {eng},
number = {1},
pages = {53-67},
title = {On the problem of axiomatization of tame representation type},
url = {http://eudml.org/doc/283002},
volume = {171},
year = {2002},
}

TY - JOUR
AU - Stanisław Kasjan
TI - On the problem of axiomatization of tame representation type
JO - Fundamenta Mathematicae
PY - 2002
VL - 171
IS - 1
SP - 53
EP - 67
AB - 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.
LA - eng
KW - tame representation type; Zariski-open sets; axiomatisable classes; varieties of algebras; finite-dimensional algebras; structure constants
UR - http://eudml.org/doc/283002
ER -