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Let $\Lambda$ be a derived-discrete algebra. We show that the Krull-Gabriel dimension of the homotopy category of projective $\Lambda$-modules, and therefore the Cantor-Bendixson rank of its Ziegler spectrum, is $2$, thus extending a result of Bobi\'
Externí odkaz:
http://arxiv.org/abs/1603.00775
Autor:
Arnesen, Kristin Krogh
Del 1 er en innføring i kommutative og ikke-kommutative Gröbnerbasiser. Sentrale resultater og noen anvendelser. Del 2 handler om algoritmer. For kommutative Gröbnerbasiser ser vi på forbedringer av Buchbergers algoritme, samt F4 og F5. Vi gjør
Externí odkaz:
http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-10565
In this article we provide a simple combinatorial description of morphisms between indecomposable complexes in the bounded derived category of a gentle algebra.
Comment: Introduction re-written to include more explicit statements of main results
Comment: Introduction re-written to include more explicit statements of main results
Externí odkaz:
http://arxiv.org/abs/1411.7644
We classify the Auslander-Reiten components of the bounded derived category of \Lambda, where {\Lambda} is a cluster-tilted of type \~A. The main tool is the combinatoric description of the indecomposable complexes in the bounded homotopy category vi
Externí odkaz:
http://arxiv.org/abs/1306.5933
Publikováno v:
In Advances in Mathematics 15 October 2017 319:653-698
