Relative singularity categories with respect to gorenstein flat modules
Sign Up to like & getrecommendations! Published in 2017 at "Acta Mathematica Sinica, English Series"
DOI: 10.1007/s10114-017-6566-8
Abstract: Let R be a right coherent ring and Db(R-Mod) the bounded derived category of left R-modules. Denote by $${D^b}{\left( {R - Mod} \right)_{\widehat {\left[ {GF,C} \right]}}}$$Db(R−Mod)[GF,C]^ the subcategory of Db(R-Mod) consisting of all complexes with… read more here.
Keywords: gorenstein flat; category; mod; left modules ... 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
Comparisons between singularity categories and relative stable categories of finite groups
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DOI: 10.1016/j.jpaa.2018.05.008
Abstract: We consider the relationship between the relative stable category of Benson, Iyengar, and Krause and the usual singularity category for group algebras with coefficients in a commutative noetherian ring. When the coefficient ring is self-injective… read more here.
Keywords: relative stable; categories relative; singularity; stable categories ... See more keywords