Construction of spectra of triangulated categories without tensor structure and applications to commutative rings
Commutative Algebra
2018-11-16 v1 Representation Theory
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 does not necessarily admit a tensor structure. We apply it for some triangulated categories associated to a commutative noetherian ring.
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Cite
@article{arxiv.1811.06312,
title = {Construction of spectra of triangulated categories without tensor structure and applications to commutative rings},
author = {Hiroki Matsui and Ryo Takahashi},
journal= {arXiv preprint arXiv:1811.06312},
year = {2018}
}
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15 pages