K[x]上中国剩余定理的证明及应用

中国剩余定理在数论及代数学中起着重要的作用,主要研究了kx]上中国剩余定理及证明,并讨论了kx]上中国剩余定理在证明拉格朗日插值公式和Jordan-Chevally分解定理中的应用。

Proof and applications of Chinese remainder theorem in K[x]

Chinese remainder theorem plays an important role in number theory and algebra. In this paper,we give a proof of Chinese remainder throrem in kx], and give the applications in proving Lagrange interpolating formula and Jordan-Chevally theory by Chinese remainder theorem in kx].