PRIME TENSOR IDEALS IN ABELIAN CATEGORIES OF REPRESENTATIONS OF QUIVERS OF TYPE <i>A </i>

IF 0.6 4区数学 Q3 MATHEMATICS

Kyushu Journal of Mathematics Pub Date : 2023-01-01 DOI:10.2206/kyushujm.77.159

Shunsuke TADA

引用次数: 0

Abstract

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.

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<i>A </i>型颤振表示的阿贝尔范畴中的素张量理想

研究了颤振表示的张量阿贝尔范畴中的素张量理想。具体地说，我们将顶点集为整数集的有界路径抖动表示范畴中的素张量理想进行了分类。我们证明了这些范畴中的素数张量理想与布尔代数的素数理想，即整数幂集的正则双射。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Kyushu Journal of Mathematics 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyushu Journal of Mathematics is an academic journal in mathematics, published by the Faculty of Mathematics at Kyushu University since 1941. It publishes selected research papers in pure and applied mathematics. One volume, published each year, consists of two issues, approximately 20 articles and 400 pages in total. More than 500 copies of the journal are distributed through exchange contracts between mathematical journals, and available at many universities, institutes and libraries around the world. The on-line version of the journal is published at "Jstage" (an aggregator for e-journals), where all the articles published by the journal since 1995 are accessible freely through the Internet.