In this paper, consecutive quotients of powers of the augmentation ideal for the Burnside ring of a finite cyclic group is discussed, and the structure for such quotients is determined for any finite cyclic group.

• 本文给出了由有限循环群出发构造的Burnside环的增广理想的基底；并讨论了它们的n次幂与n+1次幂之商；完整地给出了这类商群的结构.