A characterization of quiver algebras based on double derivations

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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.
4 pages

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Rings and Algebras, 16W25; 16S10

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http://salesiana.dossiersoluciones.com/handle/123456789/164424

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0807.1148
 http://arxiv.org/abs/0807.1148

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arXiv