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Computation of generalized real radicals of polynomial ideals

Authors:	Zeng Guangxing

Institution:	(1) Department of Mathematics, Nanchang University, 330047 Nanchang, China

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

Keywords:	computational algebraic geometry polynomial ideal generalized real radical (T U W)-radical ideal
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