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DEGENERATION-LIKE ORDERS IN TRIANGULATED CATEGORIES
- Source :
- Journal of Algebra and Its Applications. :587-597
- Publication Year :
- 2005
- Publisher :
- World Scientific Pub Co Pte Lt, 2005.
-
Abstract
- In an earlier paper we defined a relation ≤Δ between objects of the derived category of bounded complexes of modules over a finite dimensional algebra over an algebraically closed field. This relation was shown to be equivalent to the topologically defined degeneration order in a certain space [Formula: see text] for derived categories. This space was defined as a natural generalization of varieties for modules. We remark that this relation ≤Δ is defined for any triangulated category and show that under some finiteness assumptions on the triangulated category ≤Δ is always a partial order.
Details
- ISSN :
- 17936829 and 02194988
- Database :
- OpenAIRE
- Journal :
- Journal of Algebra and Its Applications
- Accession number :
- edsair.doi...........f9ac36696be2a359c90853be32429f3b