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October, 2020 Construction of spectra of triangulated categories and applications to commutative rings
Hiroki MATSUI, Ryo TAKAHASHI
J. Math. Soc. Japan 72(4): 1283-1307 (October, 2020). DOI: 10.2969/jmsj/82868286

Abstract

In this paper, as an analogue of the spectrum of a tensor-triangulated category introduced by Balmer, we define a spectrum of a triangulated category which is not necessarily tensor-triangulated. We apply it for some triangulated categories associated to a commutative noetherian ring.

Funding Statement

The first author was partly supported by JSPS Grant-in-Aid for JSPS Fellows 16J01067. The second author was partly supported by JSPS Grants-in-Aid for Scientific Research 16K05098 and JSPS Fund for the Promotion of Joint International Research 16KK0099.

Citation

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Hiroki MATSUI. Ryo TAKAHASHI. "Construction of spectra of triangulated categories and applications to commutative rings." J. Math. Soc. Japan 72 (4) 1283 - 1307, October, 2020. https://doi.org/10.2969/jmsj/82868286

Information

Received: 19 June 2019; Published: October, 2020
First available in Project Euclid: 11 June 2020

MathSciNet: MR4165933
Digital Object Identifier: 10.2969/jmsj/82868286

Subjects:
Primary: 18E30
Secondary: 13D09, 13H10

Rights: Copyright © 2020 Mathematical Society of Japan

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Vol.72 • No. 4 • October, 2020
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