Let R be a commutative noetherian local ring with residue field k. Denote by Dᵇ(R) the bounded derived category of finitely generated R-modules. In this paper, we study the structure of the Verdier quotient Dᵇ(R)/thick(R ⊕ k). We give necessary and sufficient conditions for it to admit an additive generator.
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Mifune et al. (2024) studied this question.
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