无序与有序分拆的双射关系

Bijection from Partitions to Composotitons

近几年,正整数的无序分拆与有序分拆之间存在的恒等式成为分拆理论研究者的重点研究对象,文章在探讨正整数的无序分拆与有序分拆相关问题的基础上,利用组合双射关系获得了无序分拆与有序分拆之间具有代表性的几个恒等式,同时运用Frobenius-分拆分析得到有序分拆与Frobenius-分拆之间具有代表性的一些双射关系,从而使无序分拆与有序分拆之间存在的关系更具一般性.

In recent years,the partition identity with the partitions and compositions about positive integers has been the focus of researchers.Based on the study of the partitions and compositions of positive integers,some representative identities are showed by applying the combinational bijection.In addition,some representative bijectine and more generalized relations between Frobenius-partitions and compositions are analyzed.