A characterization of quiver algebras based on double derivations

Details A characterization of quiver algebras based on double derivations A characterization of quiver algebras based on double derivations

2008-07-08

arxiv.org/abs/0807.1148v1

Mathematics

Rings and Algebras

4 pages

Scientific paper

Let k a characteristic zero field. We give a characterization for the finite
quiver k-algebras, based on double derivations. More precisely, we prove that
if an associative and unitary k-algebra have a family of double derivations
satisfying suitable conditions, then it is (canonically isomorphic to) a quiver
algebra. This is the non-commutative version of a result of D. Wright.

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