Abelian Categories from Triangulated Categories via Nakaoka–Palu’s Localization
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DOI: 10.1007/s10485-021-09668-4
Abstract: The aim of this paper is to provide an expansion of Abe–Nakaoka’s heart construction to the following two different realizations of the module category over the endomorphism ring of a rigid object in a triangulated… read more here.
Keywords: categories triangulated; localization; nakaoka palu; categories via ... See more keywords
Singularity categories via the derived quotient
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DOI: 10.1016/j.aim.2021.107631
Abstract: Abstract Given a noncommutative partial resolution A = End R ( R ⊕ M ) of a Gorenstein singularity R, we show that the relative singularity category Δ R ( A ) of Kalck–Yang is… read more here.
Keywords: derived quotient; categories via; via derived; singularity categories ... See more keywords