Silting Objects over the Stable Monomorphism Category of Higher Differential Objects
作者机构：Department of MathematicsShanghai UniversityShanghai 200444China
出 版 物：《代数集刊:英文版》 (Algebra Colloquium)
年 卷 期：2023年第30卷第2期
页 面：225-236页
核心收录：
基 金：Supported by the National Natural Science Foundation of China(Grant No.11771272)。
主 题：higher differential object stable monomorphism category partial silting object
摘 要：Higher differential objects are investigated and used for addressing three gen-eral problems.Torsionless differential modules over path algebras are characterized.The adjoint triples between triangulated categories,involving derived categories and singularity categories,are allowed to be constructed from those between the abelian categories C and C[ε]^(n).The partial silting properties between an abelian category C and C[ε]^(n)are trans-ferred,and if moreover,C is Frobenius,the partial silting objects of the stable monomor-phism categories of C[ε]^(n)are constructed from those of C.
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