Silting Objects over the Stable Monomorphism Categoryof Higher Differential Objects

被引：1
|
作者：
Gao, Nan [1 ]
Liu, Xuanyu [1 ]
Ma, Jing [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
ALGEBRA COLLOQUIUM | 2023年 / 30卷 / 02期
基金：
中国国家自然科学基金;
关键词：
higher differential object; stable monomorphism category; partial silting object;
D O I：
10.1142/S1005386723000184
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Higher differential objects are investigated and used for addressing three general 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[e](n). The partial silting properties between an abelian category C and C[e](n) are transferred, and if moreover, C is Frobenius, the partial silting objects of the stable monomorphism categories of C[e](n) are constructed from those of C.
引用
收藏
页码：225 / 236
页数：12
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