Gorenstein triangular matrix rings and category algebras

• Ren Wang ^[1]
  1. [1] University of Science and Technology of China

     University of Science and Technology of China

     China

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 220, Nº 2 (February 2016), 2016, págs. 666-682
• Idioma: inglés
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• Resumen

  • We give conditions on when a triangular matrix ring is Gorenstein of a given selfinjective dimension. We apply the result to the category algebra of a finite EI category. In particular, we prove that for a finite EI category, its category algebra is 1-Gorenstein if and only if the given category is free and projective.