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
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
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