2016/02/06 by Pu Zhang, Zhang, Pu
Mathematics · Physics and Astronomy · #14E15 #16G10 #16G50 #18E30 #18G25 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #math.RT #msc:14E15 #msc:16G10 #msc:16G50 #msc:18E30 #msc:18G25
paper · pdf · doi:10.48550/arxiv.1602.02234
arXiv admin note: text overlap with arXiv:1410.2414
arxiv created 2016/02/06 · openalex publication_date 2016/02/06 · arxiv updated 2016/02/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using the relative derived categories, we prove that if an Artin algebra A has a module T with \rm inj.dimT<∞ such that ^⊥ T is finite, then the bounded derived category Db(\rm modA) admits a categorical resolution; and that for CM-finite Gorenstein algebra, such a categorical resolution is weakly crepant.