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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.

higher differential objectstable monomorphism categorypartial silting ob-ject

Nan Gao、Xuanyu Liu、Jing Ma

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Department of Mathematics,Shanghai University,Shanghai 200444,China

National Natural Science Foundation of China

11771272

2023

代数集刊(英文版)

代数集刊(英文版)

CSCD北大核心
ISSN:1005-3867
年,卷(期):2023.30(2)
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