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
相关论文
共 50 条
  • [21] Stable Ultracompact Objects
    P. S. Negi
    M. C. Durgapal
    General Relativity and Gravitation, 1999, 31 : 13 - 20
  • [22] Stable ultracompact objects
    Negi, PS
    Durgapal, MC
    GENERAL RELATIVITY AND GRAVITATION, 1999, 31 (01) : 13 - 20
  • [23] Objects over the World
    Qiu, Bingyu
    Yanai, Keiji
    ADVANCES IN MULTIMEDIA INFORMATION PROCESSING - PCM 2008, 9TH PACIFIC RIM CONFERENCE ON MULTIMEDIA, 2008, 5353 : 296 - +
  • [24] Over abundance of the objects
    Merot, P
    EVOLUTION PSYCHIATRIQUE, 2006, 71 (01): : 110 - 121
  • [25] The objects of transformation in higher education
    Hall, Martin
    SOCIAL DYNAMICS-A JOURNAL OF THE CENTRE FOR AFRICAN STUDIES UNIVERSITY OF CAPE TOWN, 2008, 34 (01): : 74 - 85
  • [26] From simple-minded collections to silting objects via Koszul duality
    Su, Hao
    Yang, Dong
    ALGEBRAS AND REPRESENTATION THEORY, 2019, 22 (01) : 219 - 238
  • [27] From simple-minded collections to silting objects via Koszul duality
    Hao Su
    Dong Yang
    Algebras and Representation Theory, 2019, 22 : 219 - 238
  • [28] Projective and flat objects over rooted rings with several objects
    Cortes-Izurdiaga, Manuel
    Torrecillas, Blas
    BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2013, 56 (03): : 315 - 330
  • [29] DIFFERENTIAL ORDERING OF OBJECTS AND ATTRIBUTES
    SUTCLIFFE, JP
    PSYCHOMETRIKA, 1986, 51 (02) : 209 - 240
  • [30] Individuation of objects over time
    Tremoulet, P
    Feldman, J
    INVESTIGATIVE OPHTHALMOLOGY & VISUAL SCIENCE, 2000, 41 (04) : S217 - S217
12345