Title  Noncommutative Gr\"obner bases for the commutator ideal. 
Author(s)  Susan M. Hermiller, Jon Mccammond 
Type  Article in Journal 
Abstract  Let I denote the commutator ideal in the free associative algebra on m variables over an arbitrary field. In this article we prove there are exactly m! finite Gröbner bases for I, and uncountably many infinite Gröbner bases for I with respect to total division orderings. In addition, for m = 3 we give a complete description of its universal Gröbner basis.

ISSN  02181967; 17936500/e 
URL 
http://www.worldscientific.com/doi/abs/10.1142/S0218196706002834 
Language  English 
Journal  Int. J. Algebra Comput. 
Volume  16 
Number  1 
Pages  187202 
Publisher  World Scientific, Singapore 
Year  2006 
Edition  0 
Translation 
No 
Refereed 
No 