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 ...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.展开更多
基金Project supported by the National Natural Science Foundation of China (Grant No. 19661002)the Climbing Project
文摘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.
