Constructing infinite comatrix corings from colimits

被引:7
作者
Caenepeel, S. [1 ]
De Groot, E. [1 ]
Vercruysse, J. [1 ]
机构
[1] Vrije Univ Brussels, Fac Engn, B-1050 Brussels, Belgium
关键词
comatrix coring; firm ring; descent theory;
D O I
10.1007/s10485-006-9047-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We propose a class of infinite comatrix corings, and describe them as colimits of systems of usual comatrix corings. The infinite comatrix corings of El Kaoutit and Gomez Torrecillas are special cases of our construction, which in turn can be considered as a special case of the comatrix corings introduced recently by Gomez Torrecillas and the third author.
引用
收藏
页码:539 / 565
页数:27
相关论文
共 17 条
[1]   MORITA EQUIVALENCE FOR RINGS WITH LOCAL UNITS [J].
ABRAMS, GD .
COMMUNICATIONS IN ALGEBRA, 1983, 11 (08) :801-837
[2]  
Anh P.N., 1987, TSUKUBA J MATH, V11, P1
[3]  
Borceux F., 1994, ENCY MATH ITS APPL, V50
[4]   On comatrix corings and bimodules [J].
Brzezinski, T ;
Gómez-Torrecillas, J .
K-THEORY, 2003, 29 (02) :101-115
[5]   The structure of corings: Induction functors, Maschke-type theorem, and Frobenius and Galois-type properties [J].
Brzezinski, T .
ALGEBRAS AND REPRESENTATION THEORY, 2002, 5 (04) :389-410
[6]  
Brzezinski T., 2003, LONDON MATH SOC LECT, V309
[7]   Galois theory for comatrix corings: Descent theory, Morita theory, Frobenius and separability properties [J].
Caenepeel, S. ;
De Groot, E. ;
Vercruysse, J. .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 359 (01) :185-226
[8]  
Caenepeel S., 2004, Fields Inst. Commun., V43, P163
[9]  
Caenepeel S., 1998, K MONOGRAPHS MATH, V4
[10]  
El Kaoutit L, 2004, INT MATH RES NOTICES, V2004, P2017