Hochschild cohomology of truncated quiver algebras

Details Hochschild cohomology of truncated quiver algebras Hochschild cohomology of truncated quiver algebras

2005-09-09

arxiv.org/abs/math/0509202v1

Mathematics

Rings and Algebras

12 pages

Scientific paper

For a truncated quiver algebra over a field of arbitrary characteristic, its
Hochschild cohomology is calculated. Moreover, it is shown that its Hochschild
cohomology algebra is finite-dimensional if and only if its global dimension is
finite if and only if its quiver has no oriented cycles.

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