整数的平面分拆格

Lattice of plane partitions of integers

在整数平面分拆集合Ｐ中定义了序关系及∨和∧运算；证明了在所定义的序关系及运算下Ｐ为局部有限的分配格，给出了该格上链分解及Ｍｏｂｉｕｓ函数；最后得出了Ｐ的某些截断的结构及最长链的个数。

In the set of all plane partitions of integers p, partial order and ∨, ∧ operations are defined. p is proved to be a local finite distributive lattice. And some results involving chain decompositions, Mobius function and structures of some interval of p are presented.