Representation-directed algebras form an open scheme
Stanislaw Kasjan
Colloquium Mathematicae, Tome 91 (2002), p. 237-250 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:285083 
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     title = {Representation-directed algebras form an open scheme},
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     volume = {91},
     year = {2002},
     pages = {237-250},
     zbl = {1023.16014},
     language = {en},
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Stanislaw Kasjan. Representation-directed algebras form an open scheme. Colloquium Mathematicae, Tome 91 (2002) pp. 237-250. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm93-2-3/