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arXiv · 0807.1148

A characterization of quiver algebras based on double derivations

Jorge A. Guccione·Juan J. Guccione
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Abstract

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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Jorge A. Guccione, Juan J. Guccione. 2008-07-08. A characterization of quiver algebras based on double derivations. https://arxiv.org/abs/0807.1148

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