On the Derived Categories and Quasitilted Algebras |
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Authors: | Flávio U Coelho Cecilia Tosar |
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Institution: | 1. Departamento de Matemática–IME, Universidade de S?o Paulo, S?o Paulo, Brazil
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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 and we define the application . 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 subcategories of the bounded derived category of
an algebra, which turn out to be the bounded derived categories of quasi-tilted algebras. As a consequence of these results
we obtain new characterizations of quasi-tilted and quasi-tilted gentle algebras.
Presented by Raymundo Bautista. |
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Keywords: | Derived category Quasi-tilted algebra Homological properties of modules and algebras |
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