Gillespie’s questions and Grothendieck duality
نویسندگان
چکیده
Gillespie posed two questions in [Front. Math. China 12 (2017) 97-115], one of which states that “for what rings R do we have K(AC)=K(R-Inj)?”. We give an answer to such a question. As applications, obtain new homological approach unifies some well-known conditions Krause’s recollement holds, and example show there exists Gorenstein injective module is not AC-injective. also improve Neeman’s angle view the Grothendieck duality for derived categories modules from case left Noether right coherent all flat finite projective dimension rings.
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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2021
ISSN: ['1631-073X', '1778-3569']
DOI: https://doi.org/10.5802/crmath.198