2024/01/04 by Xiaofa Chen, Chen, Xiaofa
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2401.02064
openalex publication_date 2024/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We generalize the notions of d-cluster tilting pair and d-Auslander exact dg category to d-precluster tilting triple and d-minimal Auslander--Gorenstein exact dg category. We give a bijection between equivalence classes of d-precluster tilting triples and equivalence classes of d-minimal Auslander--Gorenstein exact dg categories. Our bijection generalizes Iyama--Solberg correspondence for module categories.