@article{10.1016/S0747-71718980060-4,
    Abstract = {This paper shows an algorithm to construct the Grobner bases of radicals of zero-dimensional ideals. Computing radicals is equivalent to solving systems of algebraic equations without counting the multiplicities of solutions. We prove that the Grobner basis of a radical zero-dimensional ideal takes a special form after a suitable transformation of coordinates.},
    Address = {USA},
    Author = {Kobayashi, Hidetsune and Moritsugu, Shuichi and Hogan, Robert W.},
    File = {On Radical Zero-Dimensional Ideals - 81962027.pdf},
    ISSN = {0747-7171},
    Journal = {J. Symb. Comput.},
    Month = {dec},
    Number = {6},
    Pages = {545--552},
    Publisher = {Academic Press, Inc.},
    Title = {On Radical Zero-Dimensional Ideals},
    URL = {https://doi.org/10.1016/S0747-7171(89)80060-4},
    Volume = {8},
    Year = {1989},
    bdsk-url-1 = {https://doi.org/10.1016/S0747-7171(89)80060-4},
    date-added = {2022-03-12 15:27:17 +0100},
    date-modified = {2022-03-12 15:27:17 +0100},
    issue_date = {Dec. 1989},
    numpages = {8},
    doi = {10.1016/S0747-7171(89)80060-4}
}

@article{10.1016/S0747-71718980060-4, Abstract = {This paper shows an algorithm to construct the Grobner bases of radicals of zero-dimensional ideals. Computing radicals is equivalent to solving systems of algebraic equations without counting the multiplicities of solutions. We prove that the Grobner basis of a radical zero-dimensional ideal takes a special form after a suitable transformation of coordinates.}, Address = {USA}, Author = {Kobayashi, Hidetsune and Moritsugu, Shuichi and Hogan, Robert W.}, File = {On Radical Zero-Dimensional Ideals - 81962027.pdf}, ISSN = {0747-7171}, Journal = {J. Symb. Comput.}, Month = {dec}, Number = {6}, Pages = {545--552}, Publisher = {Academic Press, Inc.}, Title = {On Radical Zero-Dimensional Ideals}, URL = {https://doi.org/10.1016/S0747-7171(89)80060-4}, Volume = {8}, Year = {1989}, bdsk-url-1 = {https://doi.org/10.1016/S0747-7171(89)80060-4}, date-added = {2022-03-12 15:27:17 +0100}, date-modified = {2022-03-12 15:27:17 +0100}, issue_date = {Dec. 1989}, numpages = {8}, doi = {10.1016/S0747-7171(89)80060-4} }