| Title | Non-commutative Gröbner bases under composition |
| Authors | Patrik Nordbeck |
| Alternative Location | http://pdfserve.informaworl..., Restricted Access |
| Alternative Location | http://dx.doi.org/10.1081/A... |
| Publication | Communications in Algebra |
| Year | 2001 |
| Volume | 29 |
| Issue | 11 |
| Pages | 4831 - 4851 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Taylor & Francis |
| Abstract English | 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 $Theta$ of noncommutative polynomials to assure that the set $G circ Theta$ of composed polynomials is a Gröbner basis in the free associative algebra whenever $G$ is. The subject was initiated by H. Hong, who treated the commutative analogue in (J. Symbolic Comput. 25 (1998), no. 5, 643--663). |
| Keywords | non-commutative Grobner bases, composition of polynomials, |
| ISBN/ISSN/Other | ISSN: 0092-7872 |
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