Representation-finite triangular algebras form an open scheme

• Autorzy: Stanisław Kasjan
• Języki publikacji: EN

Abstrakty

EN

Let V be a valuation ring in an algebraically closed field K with the residue field R. Assume that A is a V-order such that the R-algebra Ā obtained from A by reduction modulo the radical of V is triangular and representation-finite. Then the K-algebra KA ≅ A ⊗V is again triangular and representation-finite. It follows by the van den Dries’s test that triangular representation-finite algebras form an open scheme.

Słowa kluczowe

EN

representation-finite algebra; valuation ring; first-order formula; 16G60; 16G30; 03C60

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2003
• Tom: 1
• Numer: 1
• Strony: 97-107

Daty

wydano

2003-03-01

online

2003-03-01

Twórcy

autor

Stanisław Kasjan

• Nicholas Copernicus University

Bibliografia

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Identyfikatory

DOI

10.2478/BF02475667