论文标题
字符串代数上的周期性字符串复合物
Periodic String Complexes over String Algebras
论文作者
论文摘要
在本文中，我们为字符串代数的情况开发了组合技术，目的是用无限的最小投影分辨率来表征字符串复合物。这些复合物将称为\ textIt {周期字符串复杂}。由于这种特征，我们给出了两个重要的应用。第一个是弦乐代数具有无限全局维度的足够条件。在第二个中，我们针对字符串代数的特殊情况在派生类别中展示了一类不可分配的对象。本文中的每个构建，概念和后果都遵循一些说明性的例子。
In this paper we develop combinatorial techniques for the case of string algebras with the aim to give a characterization of string complexes with infinite minimal projective resolution. These complexes will be called \textit{periodic string complexes}. As a consequence of this characterization, we give two important applications. The first one, is a sufficient condition for a string algebra to have infinite global dimension. In the second one, we exhibit a class of indecomposable objects in the derived category for a special case of string algebras. Every construction, concept and consequence in this paper is followed by some illustrative examples.
