Abstract:In this paper, we present some results on the bounded derived category of Artin algebras, and in particular on the indecomposable objects in these categories, using homological properties. Given a complex X * , we consider the set J X * = {i ∈ Z | H i (X * ) = 0} and we define the application l(X * ) = maxJ X * − minJ X * + 1. We give relationships between some homological properties of an algebra and the respective application l. On the other hand, using homological properties again, we determine two subcateg… Show more
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