| Title | On the finiteness of Gröbner bases computation in quotients of the free algebra |
| Authors | Patrik Nordbeck |
| Alternative Location | http://www.springerlink.com..., Restricted Access |
| Alternative Location | http://dx.doi.org/10.1007/s... |
| Publication | Applicable Algebra in Engineering, Communication and Computing |
| Year | 2001 |
| Volume | 11 |
| Issue | 3 |
| Pages | 157 - 180 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Springer |
| Abstract English | We investigate, for quotients of the non-commutative polynomial<br> ring, a property that implies finiteness of Gröbner bases<br> computation, and examine its connection with Noetherianity.<br> We propose a Gröbner bases theory for our factor algebras, of particular interest for <br> one-sided ideals, and show a few<br> applications, e.g. how to compute (one-sided) syzygy modules. |
| Keywords | non-commutative algebras, Grobner bases, Dickson's lemma, Noetherianity, syzygies, POLYNOMIAL-RINGS, |
| ISBN/ISSN/Other | ISSN: 0938-1279 |
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