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Derived equivalences between triangular matrix algebras. (English) Zbl 1441.16010

Summary: In this paper, we study derived equivalences between triangular matrix algebras using certain classical recollements. We show that special properties of these recollements actually characterize triangular matrix algebras and describe methods to construct tilting modules and tilting complexes inducing derived equivalences between them.

MSC:

16E35 Derived categories and associative algebras
16S50 Endomorphism rings; matrix rings
16G10 Representations of associative Artinian rings
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