A characterization of quiver algebras based on double derivations
Rings and Algebras
2008-07-09 v1
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.
Cite
@article{arxiv.0807.1148,
title = {A characterization of quiver algebras based on double derivations},
author = {Jorge A. Guccione and Juan J. Guccione},
journal= {arXiv preprint arXiv:0807.1148},
year = {2008}
}
Comments
4 pages