摘要
自文献［１］提出了幂环以来，人们一直有这么一个问题没解决，即是否存在非平凡的幂环的例子？但至今既没找到非平凡的幂环，也没有证明任一环Ｒ仅存在平凡的幂环。针对这个问题，本文指出并证明了一类环仅有平凡幂环，给出一系列的结构定理，这样，既为证明任一环Ｒ仅有平凡的幂环的猜想提供新的启示，也指明无须在这一类环上寻找非平凡幂环。
Since the hyper ring was raised in paper[1],the problem of non─trivial hyper ring existing has been unsolved. However,we could find neithet non─trivial hgper ring nor any ring only ex isting trivial hyper ring. As for this, this paper point out that a class of ring exist trivial hyper ring only and give a serious of structure theorems. Fspectially,we may have some new ideas on ei ther proving the existing trivial hyperring hypothesis of any ring or pointing out the course of forming non─trivial hyper ring.
