Representation-directed algebras form an open scheme
Colloquium Mathematicae (2002)
- Volume: 93, Issue: 2, page 237-250
- ISSN: 0010-1354
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topStanislaw Kasjan. "Representation-directed algebras form an open scheme." Colloquium Mathematicae 93.2 (2002): 237-250. <http://eudml.org/doc/285083>.
@article{StanislawKasjan2002,
abstract = {We apply van den Dries's test to the class of algebras (over algebraically closed fields) which are not representation-directed and prove that this class is axiomatizable by a positive quantifier-free formula. It follows that the representation-directed algebras form an open ℤ-scheme.},
author = {Stanislaw Kasjan},
journal = {Colloquium Mathematicae},
keywords = {representation-directed algebras; schemes; algebras over discrete valuation rings; Auslander-Reiten quivers},
language = {eng},
number = {2},
pages = {237-250},
title = {Representation-directed algebras form an open scheme},
url = {http://eudml.org/doc/285083},
volume = {93},
year = {2002},
}
TY - JOUR
AU - Stanislaw Kasjan
TI - Representation-directed algebras form an open scheme
JO - Colloquium Mathematicae
PY - 2002
VL - 93
IS - 2
SP - 237
EP - 250
AB - We apply van den Dries's test to the class of algebras (over algebraically closed fields) which are not representation-directed and prove that this class is axiomatizable by a positive quantifier-free formula. It follows that the representation-directed algebras form an open ℤ-scheme.
LA - eng
KW - representation-directed algebras; schemes; algebras over discrete valuation rings; Auslander-Reiten quivers
UR - http://eudml.org/doc/285083
ER -
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