Details:
Title  NonCommutative 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 
