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Representation-finite triangular algebras form an open scheme

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Central European Journal of Mathematics

Abstract

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.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Nicholas Copernicus University, Chopina 12/18, 87-100, Toruń, Poland

    Stanisław Kasjan

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  1. Stanisław Kasjan
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Kasjan, S. Representation-finite triangular algebras form an open scheme. centr.eur.j.math. 1, 97–107 (2003). https://doi.org/10.2478/BF02475667

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  • DOI: https://doi.org/10.2478/BF02475667

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