k[x]上中国剩余定理的证明及应用

Proof and Applications of Chinese Remainder Theorem in k[x]

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k[x]上中国剩余定理及证明,并讨论了k[x]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。

Chinese remainder theorem plays an important role in number theory and algebra. A proof of Chinese remainder throrem in k [ x ] is given, and give the applications in proving Lagrange interpolating formula and Jordan-Chevally theory by Chinese remainder theorem in k [ x ].