Derived equivalences and Gorenstein algebras

• Autores: Hiroki Abe, Mitsuo Hoshino
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 211, Nº 1, 2007, págs. 55-69
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2006.12.008
• Texto completo no disponible (Saber más ...)
• Resumen

  • We introduce a notion of Gorenstein R-algebras over a commutative Gorenstein ring R. Then we provide a necessary and sufficient condition for a tilting complex over a Gorenstein R-algebra A to have a Gorenstein R-algebra B as the endomorphism algebra and a construction of such a tilting complex. Furthermore, we provide an example of a tilting complex over a Gorenstein R-algebra A whose endomorphism algebra is not a Gorenstein R-algebra.