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Cyclic homology of quadratic monomial algebras
- Source :
- Journal of Pure and Applied Algebra. (2-3):345-356
- Publisher :
- Elsevier Science B.V.
-
Abstract
- In this note, the cyclic homology of quiver algebras with quadratic monomial relations over a field are computed. This is done by using a mixed complex due to Cibils. An associated spectral sequence is considered, which converges to the cyclic homology. The E 1 -term of this is calculated with the aid of the author's earlier work on the Hochschild homology of these algebras. The E 2 -term is then calculated, and since all higher differentials in the spectral sequence vanishes, the homology spaces can be determined from it.
- Subjects :
- Discrete mathematics
Pure mathematics
Algebra and Number Theory
Hochschild homology
Cellular homology
Cyclic homology
Mathematics::Algebraic Topology
CW complex
Morse homology
Mayer–Vietoris sequence
Mathematics::K-Theory and Homology
Mathematics::Symplectic Geometry
Mathematics
Relative homology
Singular homology
Subjects
Details
- Language :
- English
- ISSN :
- 00224049
- Issue :
- 2-3
- Database :
- OpenAIRE
- Journal :
- Journal of Pure and Applied Algebra
- Accession number :
- edsair.doi.dedup.....a7830a9c04eb47dead414f93d0da8625
- Full Text :
- https://doi.org/10.1016/S0022-4049(99)00156-5