PRIME TENSOR IDEALS IN ABELIAN CATEGORIES OF REPRESENTATIONS OF QUIVERS OF TYPE A

被引：0

作者：

Tada, Shunsuke ^{[1
]}

机构：

[1] Kobe Univ, Grad Sch Human Dev & Environm, Kobe, Hyogo, Japan

来源：

KYUSHU JOURNAL OF MATHEMATICS | 2023年 / 77卷 / 01期

关键词：

quiver; quiver representation; prime tensor ideal; tensor triangulated geometry;

D O I：

10.2206/kyushujm.77.159

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：159 / 177

页数：19

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