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Research Article | Open Access

Balmer spectrum of tensor n-angulated categories

School of Artificial Intelligence, Jianghan University, Wuhan 430056, China
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Abstract

In this paper, we first introduce the notions of thick and prime tensor ideals in tensor n-angulated categories and then obtain the Balmer spectrum of such categories. We consider the topological properties of this spectrum. Moreover, we introduce the notion of radical tensor ideals in tensor n-angulated categories and show that they can be parametrized by supports of subcategories. Furthermore, we provide Balmer's classification theorem in terms of Thomason subsets of the spectrum space.

Keywords

tensor n-angulated categoryBalmer spectrumthickradicalThomason subset
CLC number: 18F30, 18G25, 18G80

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AIMS Mathematics
Volume 11 Issue 6,
June 2026
Pages 18402-18414
DOI: 10.3934/math.2026747

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Tan L. Balmer spectrum of tensor n-angulated categories. AIMS Mathematics, 2026, 11(6): 18402-18414. https://doi.org/10.3934/math.2026747

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Received: 01 April 2026
Revised: 28 May 2026
Accepted: 12 June 2026
Published: 15 June 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)