Relative approximations and Maschke functors

被引：1
作者：
Zhu, B [1 ]
机构：
[1] Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2003年 / 67卷 / 02期
关键词：
D O I：
10.1017/S0004972700033682
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The notion of approximations relative to a functor is introduced and several characterisations of relative (dual) Maschke functors are given by using them. As an application, the injective objects in the category of comodules over a coring are described.
引用
收藏
页码：219 / 224
页数：6
相关论文
共 50 条
[31]   SPECTRAL GABRIEL TOPOLOGIES AND RELATIVE SINGULAR FUNCTORS [J].
PARDO, JLG .
COMMUNICATIONS IN ALGEBRA, 1985, 13 (01) :21-57
[32]   Derived functors of Hom relative to flat covers [J].
Aldrich, ST ;
Enochs, EE ;
Ramos, JAL .
MATHEMATISCHE NACHRICHTEN, 2002, 242 :17-26
[33]   RELATIVE DERIVED CONTRAVARIANT FUNCTORS AND THE COHOMOLOGY OF GROUPS [J].
ELLIS, GJ .
JOURNAL OF PURE AND APPLIED ALGEBRA, 1990, 64 (01) :21-33
[34]   SEMI-SIMPLICITY RELATIVE TO KERNEL FUNCTORS [J].
RUBIN, RA .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1974, 26 (06) :1405-1411
[35]   Structure theorem and Maschke type theorem for post-relative Hopf modules [J].
Wang, Zhongwei ;
Zhang, Liangyun ;
Wang, Yong .
COMMUNICATIONS IN ALGEBRA, 2025, 53 (08) :3181-3203
[36]   Relative (p,ε)-Approximations in Geometry [J].
Har-Peled, Sariel ;
Sharir, Micha .
DISCRETE & COMPUTATIONAL GEOMETRY, 2011, 45 (03) :462-496
[37]   Relative integral functors for singular fibrations and singular partners [J].
Hernandez Ruiperez, Daniel ;
Lopez Martin, Ana Cristina ;
Sancho de Salas, Fernando .
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2009, 11 (03) :597-625
[38]   A CONSTRUCTION OF RELATIVE LEFT DERIVED FUNCTORS SIMILAR TO Tor [J].
Zareh-Khoshchehreh, Fatemeh .
COLLOQUIUM MATHEMATICUM, 2019, 158 (01) :1-20
[39]   Relative (p,ε)-Approximations in Geometry [J].
Sariel Har-Peled ;
Micha Sharir .
Discrete & Computational Geometry, 2011, 45 :462-496
[40]   THE FUNDAMENTAL THEOREM AND MASCHKE'S THEOREM IN THE CATEGORY OF RELATIVE HOM-HOPF MODULES [J].
Chen, Yuanyuan ;
Wang, Zhongwei ;
Zhang, Liangyun .
COLLOQUIUM MATHEMATICUM, 2016, 144 (01) :55-71
12345