Abstract
In this article, by characterizing iterated almost ν-stable derived equivalences, we give several sufficient conditions for a derived equivalence between general finite-dimensional algebras to induce a stable equivalence of Morita type. In particular, we prove the following: Let A and B be two finite-dimensional algebras over a field. Suppose that there is a derived equivalence between A and B induced by a tilting complex T • over A. If each indecomposable projective A-module P without the property “ is projective for all i ≥ 0” occurs only in the 0-degree term T 0 of T • with multiplicity 1, then A and B are stably equivalent of Morita type.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
