Geodesic
On the problem of axiomatization of tame representation type
Stanisław Kasjan1
1 Faculty of Mathematics and Computer Science Nicholas Copernicus University Chopina 12/18 87-100 Toruń, Poland
Fundamenta Mathematicae, Tome 171 (2002) no. 1, pp. 53-67 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/fm171-1-3
Keywords: associative algebras fixed dimension algebraically closed fields fixed characteristic considered proved class algebras tame representation type axiomatizable moreover finite axiomatizability class equivalent conjecture algebras tame representation type form zariski open subset variety algebras

Stanisław Kasjan 1

1 Faculty of Mathematics and Computer Science Nicholas Copernicus University Chopina 12/18 87-100 Toruń, Poland 
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Stanisław Kasjan. On the problem of axiomatization of
tame representation type. Fundamenta Mathematicae, Tome 171 (2002) no. 1, pp. 53-67. doi: 10.4064/fm171-1-3

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