论文标题
希尔伯特（Hilbert）系列的树木类别
Hilbert series in the category of trees with contractions
论文作者
论文摘要
我们认为Hilbert系列与各种树木的模块相关。使用Sam和Snowden的技术，我们表明这些希尔伯特系列必须是代数。然后，我们应用这些技术定理来证明与树木相关的某些自然产生功能的事实。
We consider Hilbert series associated to modules over various categories of trees. Using the technology of Sam and Snowden, we show that these Hilbert series must be algebraic. We then apply these technical theorems to prove facts about certain natural generating functions associated to trees.
