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Derived Equivalences for a Class of PI Algebras

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A description of tilting complexes is given for a class of PI algebras whose prime spectrum is canonically homeomorphic to the prime spectrum of its center. Some Sklyanin algebras are… Click to show full abstract

A description of tilting complexes is given for a class of PI algebras whose prime spectrum is canonically homeomorphic to the prime spectrum of its center. Some Sklyanin algebras are the kind of algebras considered. As an application, it is proved that any algebra derived equivalent to such kind of algebra, is Morita equivalent to it.

Keywords: derived equivalences; class; equivalences class; class algebras

Journal Title: Algebras and Representation Theory
Year Published: 2021

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