2012BIBSYS Brage (BIBSYS (Norway))Open access

The Ungraded Derived Category

Torkil Stai

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Abstract

By means of the ungraded derived category we prove that the orbit category of the bounded derived category of an iterated tilted algebra with respect to translation is triangulated in such a way that the canonical functor from the bounded derived category to the orbit category becomes a triangle functor.

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By means of the ungraded derived category we prove that the orbit category of the bounded derived category of an iterated tilted algebra with respect to translation is triangulated in such a way that the canonical functor from the bounded derived category to the orbit category becomes a triangle functor.

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Available abstract

By means of the ungraded derived category we prove that the orbit category of the bounded derived category of an iterated tilted algebra with respect to translation is triangulated in such a way that the canonical functor from the bounded derived category to the orbit category becomes a triangle functor.

Key concepts: Concrete category, Functor, Derived category, Mathematics, Iterated function, Closed category, Enriched category, Functor category

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