Details:
| Title | An algorithm for primary decomposition in polynomial rings over the integers. | | Author(s) | Gerhard Pfister, Afshan Sadiq, Stefan Steidel | | Type | Article in Journal | | Abstract | We present an algorithm to compute a primary decomposition of an ideal in a polynomial ring over the integers. For this purpose we use algorithms for primary decomposition in polynomial rings over the rationals, resp. over finite fields, and the idea of Shimoyama-Yokoyama, resp. Eisenbud-Hunecke-Vasconcelos, to extract primary ideals from pseudo-primary ideals. A parallelized version of the algorithm is implemented in Singular. Examples and timings are given at the end of the article. | | Keywords | | | ISSN | 1895-1074; 1644-3616/e |
| URL |
http://link.springer.com/article/10.2478%2Fs11533-011-0037-8 |
| Language | English | | Journal | Cent. Eur. J. Math. | | Volume | 9 | | Number | 4 | | Pages | 897--904 | | Publisher | Springer, Heidelberg; De Gruyter Open, Warsaw | | Year | 2011 | | Edition | 0 | | Translation |
No | | Refereed |
No |
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