中国剩余定理在交换环上的推广

Generalization of Chinese Remainder Theorem in Commutative Ring

通过对交换环相关理论的研究,给出了中国剩余定理在交换幺环、不一定含单位元的交换环和Dedekind整环上的几种推广形式,并得到了在交换环上同余方程组有解的充要条件.

According to the research of commutative ring, several generalizations of Chinese remainder theorem in commutative ring with identity, commutative ring not necessarily identity and Dedekind domain are given. And a sufficient and necessary condition for the solution to the congruence equations on commutative ring is got.