首页|Silting Objects over the Stable Monomorphism Category of Higher Differential Objects
Silting Objects over the Stable Monomorphism Category of Higher Differential Objects
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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.