论文标题
在计算国内字符串代数的吊床订单类型
On the computation of order types of hammocks for domestic string algebras
论文作者
论文摘要
对于国内字符串代数的表示理论研究，Schröer引入了一个有界离散线性订单的吊床版本。他引入了一个有限的组合小工具，称为“桥颤抖”，我们在本文的前传中对其进行了修改，以获取一种称为Arch Bridge颤抖的变体。在这里，我们将其用作提供算法来计算此类吊床任意闭合间隔的订单类型的工具。此外，我们将这些吊床的订单类型类型定义为有限呈现的线性订单类别的有限离散，这是包含有限线性订单以及$ω$的最小的线性订单，并且在同构，有限的逆转，订单反向，订购订单和毒理学产品下关闭。
For the representation-theoretic study of domestic string algebras, Schröer introduced a version of hammocks that are bounded discrete linear orders. He introduced a finite combinatorial gadget called the bridge quiver, which we modified in the prequel of this paper to get a variation called the arch bridge quiver. Here we use it as a tool to provide an algorithm to compute the order type of an arbitrary closed interval in such hammocks. Moreover, we characterize the class of order types of these hammocks as the bounded discrete ones amongst the class of finitely presented linear orders--the smallest class of linear orders containing finite linear orders as well as $ω$, and that is closed under isomorphisms, order reversal, finite order sums and lexicographic products.
