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Cyclic homology of quadratic monomial algebras

Authors :
Emil Sköldberg
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.

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