@article{KALKBRENER1994365,
    Abstract = {In this paper we are concerned with the computation of prime decompositions of radicals in polynomial rings over a noetherian commutative ring R with identity. We show that prime decomposition algorithms in R can be lifted to R[x] if for every prime ideal P in R univariate polynomials can be factored over the quotient field of the residue class ring R/P. In the proof of this result a lifting algorithm is constructed which can be considered as a generalization of the algorithm of Ritt and Wu.},
    Author = {Kalkbrener, Michael},
    File = {Prime decompositions of radicals in polynomial rings - 1-s2.0-S0747717184710522-main - a.pdf},
    ISSN = {0747-7171},
    Journal = {Journal of Symbolic Computation},
    Number = {4},
    Pages = {365-372},
    Title = {Prime Decompositions of Radicals in Polynomial Rings},
    URL = {https://www.sciencedirect.com/science/article/pii/S0747717184710522},
    Volume = {18},
    Year = {1994},
    bdsk-url-1 = {https://www.sciencedirect.com/science/article/pii/S0747717184710522},
    bdsk-url-2 = {https://doi.org/10.1006/jsco.1994.1052},
    date-added = {2022-11-26 17:08:13 +0100},
    date-modified = {2022-11-26 17:08:13 +0100},
    file-2 = {Prime decompositions of radicals in polynomial rings - Kalkbrener94 - a.pdf},
    doi = {10.1006/jsco.1994.1052}
}

@article{KALKBRENER1994365, Abstract = {In this paper we are concerned with the computation of prime decompositions of radicals in polynomial rings over a noetherian commutative ring R with identity. We show that prime decomposition algorithms in R can be lifted to R[x] if for every prime ideal P in R univariate polynomials can be factored over the quotient field of the residue class ring R/P. In the proof of this result a lifting algorithm is constructed which can be considered as a generalization of the algorithm of Ritt and Wu.}, Author = {Kalkbrener, Michael}, File = {Prime decompositions of radicals in polynomial rings - 1-s2.0-S0747717184710522-main - a.pdf}, ISSN = {0747-7171}, Journal = {Journal of Symbolic Computation}, Number = {4}, Pages = {365-372}, Title = {Prime Decompositions of Radicals in Polynomial Rings}, URL = {https://www.sciencedirect.com/science/article/pii/S0747717184710522}, Volume = {18}, Year = {1994}, bdsk-url-1 = {https://www.sciencedirect.com/science/article/pii/S0747717184710522}, bdsk-url-2 = {https://doi.org/10.1006/jsco.1994.1052}, date-added = {2022-11-26 17:08:13 +0100}, date-modified = {2022-11-26 17:08:13 +0100}, file-2 = {Prime decompositions of radicals in polynomial rings - Kalkbrener94 - a.pdf}, doi = {10.1006/jsco.1994.1052} }