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Computation of generalized real radicals of polynomial ideals

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Abstract

For an ordered field (K,T) and an idealI of the polynomial ring\(K\left[ {x_1 , \cdots ,x_n } \right]\), the construction of the generalized real radical\(^{\left( {T,U,W} \right)} \sqrt I \) ofI is investigated. When (K,T) satisfies some computational requirements, a method of computing\(^{\left( {T,U,W} \right)} \sqrt I \) is presented.

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Authors and Affiliations

  1. Department of Mathematics, Nanchang University, 330047, Nanchang, China

    Zeng Guangxing

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  1. Zeng Guangxing
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Additional information

Project supported by the National Natural Science Foundation of China (Grant No. 19661002) and the Climbing Project.

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Guangxing, Z. Computation of generalized real radicals of polynomial ideals. Sci. China Ser. A-Math. 42, 272–280 (1999). https://doi.org/10.1007/BF02879061

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  • DOI: https://doi.org/10.1007/BF02879061

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