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DEGENERATION-LIKE ORDERS IN TRIANGULATED CATEGORIES.
- Source :
-
Journal of Algebra & Its Applications . Oct2005, Vol. 4 Issue 5, p587-597. 11p. - Publication Year :
- 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 $comproj(A,\underline{d})$ 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MODULES (Algebra)
*RING theory
*TOPOLOGY
*ALGEBRA
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 4
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 18633019
- Full Text :
- https://doi.org/10.1142/S021949880500137X