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A homological characterization of piecewise hereditary algebras

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Abstract

Let Λ be a finite dimensional algebra over a field k. We will show here that Λ is piecewise hereditary if and only if its strong global dimension is finite.

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Author information

Authors and Affiliations

  1. Fakultät für Mathematik, Technische Universität Chemnitz, 09107, Chemnitz, Germany

    Dieter Happel

  2. Department of Mathematics, Syracuse University, Syracuse, NY, 13244-0001, USA

    Dan Zacharia

Authors
  1. Dieter Happel
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  2. Dan Zacharia
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Corresponding author

Correspondence to Dieter Happel.

Additional information

Dedicated to Otto Kerner on the occasion of his 65th birthday.

The second author is supported by a grant from NSA. These results were obtained during a visit of the first author at Syracuse University. He would like to thank the second author for the hospitality during his stay.

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Happel, D., Zacharia, D. A homological characterization of piecewise hereditary algebras. Math. Z. 260, 177–185 (2008). https://doi.org/10.1007/s00209-007-0268-3

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  • DOI: https://doi.org/10.1007/s00209-007-0268-3

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