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Yang Han

  1. Hochschild homology, global dimension, and truncated oriented cycles.

    Wed, 04/07/2010 - 15:01 — SomNambul
    Authors: Yang Han
    Subjects: Rings and Algebras
    Abstract

    It is shown that a bounded quiver algebra having a 2-truncated oriented cycle
    is of infinite Hochschild homology dimension and global dimension, which
    generalizes a result of Solotar and Vigu\'{e}-Poirrier to nonlocal ungraded
    algebras having a 2-truncated oriented cycle of arbitrary length. Therefore, a
    bounded quiver algebra of finite global dimension has no 2-truncated oriented
    cycles.

  2. Derived dimensions of representation-finite algebras.

    Thu, 09/03/2009 - 17:38 — SomNambul
    Authors: Yang Han
    Subjects: Representation Theory
    Abstract

    It is shown that the derived dimension of any representation-finite Artin
    algebra is at most one.

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