Krull–Gabriel dimension and Cantor–Bendixson rank of 1-domestic string algebras

Volume 127 / 2012

Gena Puninski Colloquium Mathematicum 127 (2012), 185-211 MSC: Primary 16G20; Secondary 16D50, 03C98. DOI: 10.4064/cm127-2-4

Abstract

We prove that the Krull–Gabriel dimension of the category of modules over any $1$-domestic non-degenerate string algebra is $3$.

Authors

  • Gena PuninskiDepartment of Mathematics
    Belarus State University
    Praspekt Nezalezhnosti 4
    Minsk, 220030 Belarus
    e-mail

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