A 型颤振表示的阿贝尔范畴中的素张量理想

Pub Date : 2023-01-01 DOI:10.2206/kyushujm.77.159

Shunsuke TADA

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引用次数: 0

摘要

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。

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

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

摘要