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 Title Non-Commutative Gröbner Bases For Commutative Algebras Author(s) David Eisenbud, Irena Peeva, Bernd Sturmfels Type Article in Journal Abstract An ideal $I$ in the free associative algebra $k\langle X_{1},\dots ,X_{n}\rangle$ over a field $k$ is shown to have a finite Gröbner basis if the algebra defined by $I$ is commutative; in characteristic 0 and generic coordinates the Gröbner basis may even be constructed by lifting a commutative Gröbner basis and adding commutators. Length 5 File Language English Journal Proceeding of the American Mathematical Society Volume 126 Pages 687 - 691 Year 1998 Edition 0 Translation No Refereed No
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