Intersection of Ideals in a Polynomial Ring over a Dual Valuation Domain
Let V be a valuation domain and let A=V+εV be a dual valuation domain. We propose a method for computing a strong Gröbner basis in R=A[x1,…,xn]; given polynomials f1,…,fs∈R, a method for computing a generating set for Syz(f1,…,fs)={(h1,…,hs)∈Rs∣h1f1+⋯+hsfs=0} is given; and, finally, given two ideals...
Main Authors: | Regis F. Babindamana, Andre S. E. Mialebama Bouesso |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2018-01-01
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Series: | Journal of Mathematics |
Online Access: | http://dx.doi.org/10.1155/2018/9316901 |
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