论文标题
$ a $ type Quivers类别中的主要理想
Prime ideals in categories of representations of quivers of type $A$
论文作者
论文摘要
我们研究Quiver表示量张量的Abelian类别中的主要张量理想。具体而言，我们将质量张量理想分类为曲折震颤的表示类别（带有有界路径长度），其顶点集是整数集。我们表明，这些类别中的主要张量理想与布尔代数的主要理想（整数的力量集）的主要理想是典型的培训。
We study prime tensor ideals in tensor abelian categories of quiver representations. Specifically, we classify the prime tensor ideals in the category of representations of zigzag quivers (with bounded path length) whose vertex set is the set of integers. We show that prime tensor ideals in these categories are in canonical bijection with prime ideals of a Boolean algebra, the power set of integers.
