Silting Objects over the Stable Monomorphism Category of Higher Differential Objects  

作　　者：Nan Gao Xuanyu Liu Jing Ma 

机构地区：[1]Department of Mathematics,Shanghai University,Shanghai 200444,China

出　　处：《Algebra Colloquium》2023年第2期225-236,共12页代数集刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11771272)。

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.

关 键 词：higher differential object stable monomorphism category partial silting object 

分 类 号：O15[理学—数学]