Details:
Title  NonCommutative Gröbner Bases Under Composition  Author(s)  Patrik Nordbeck  Type  Article in Journal  Abstract  Polynomial composition is the operation of replacing the variables in a polynomial with other polynomials. In this paper we give sufficient and necessary conditions on a set T of noncommutative polynomials to assure that the set G ? T of composed polynomials is a Gröbner basis in the free associative algebra whenever G is. The subject was initiated by Hong, treating the commutative analogue in (1998, J. Symb. Comput. 25, 643–663).  Keywords  Noncommutative Gröbner bases, Composition of polynomials  Length  22  ISSN  00927872 
File 
 Language  English  Journal  Communications in Algebra  Volume  29  Number  11  Pages  48314851  Publisher  Taylor & Francis  Year  2001  Month  November  Translation 
No  Refereed 
No  Organization 
Lund University 
