不使用块堆定义的堆叠有向动物和多向动物
Stacked directed animals and multi-directed animals defined without using heaps of pieces
摘要：
层叠有向动物和多向动物是Bousquet-Mélou和Rechnitzer在2002年定义的两种格模型。这些模型的原始定义涉及大量的片段，即，部分交换幺半群一些几何表示。这篇文章的目的是定义堆叠的有向动物和多向动物，以这种方式，不涉及成堆的棋子。我们的替代定义相当于Bousquet-Mélou和Rechnitzer的原始定义。
英文摘要：
Stacked directed animals and multi-directed animals are two lattice models defined by Bousquet-Mélou and Rechnitzer in 2002. The original definitions of those models involve heaps of pieces, i.e., some geometric representation of partially commutative monoids. The object of this writing is to define stacked directed animals and multi-directed animals in such a way that heaps of pieces are not involved. Our alternative definitions are equivalent to Bousquet-Mélou and Rechnitzer's original ones.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
