Details:
Title | Tropical Noetherity and Groebner bases | Author(s) | Ya KAZARNOVSKI ̆, A. G. KHOVANSKI ̆ | Type | Article in Journal | Abstract | A set that is a Groebner basis for an ideal with respect to every Groebner ordering is called a universal Groebner basis for that ideal. In the paper, it is proved that there exists a universal Groebner basis in which the polynomials have controlled degrees. The main result is the theorem on the tropical Noetherity of a ring of Laurent polynomials. This theorem is close to the existence theorem for a universal basis and is needed for the tropical intersection theory in (C∗ )n , which will be presented in a forthcoming paper.
| Keywords | Laurent polynomial, ideal, tropical basis, universal Groebner basis, Seidenberg theorem |
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| Language | English | Journal | St. Petersburg Math. J. | Volume | 26 | Number | 5 | Year | 2014 | Edition | 0 | Translation |
No | Refereed |
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