| Title:
|
Abelian groups which have trivial absolute coGalois group (English) |
| Author:
|
Enochs, Edgar E. |
| Author:
|
Rada, Juan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
55 |
| Issue:
|
2 |
| Year:
|
2005 |
| Pages:
|
433-437 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this article we characterize those abelian groups for which the coGalois group (associated to a torsion free cover) is equal to the identity. (English) |
| Keyword:
|
group |
| Keyword:
|
cover |
| Keyword:
|
torsion free |
| MSC:
|
13C11 |
| MSC:
|
16D10 |
| MSC:
|
16G20 |
| MSC:
|
20K30 |
| MSC:
|
20K40 |
| idZBL:
|
Zbl 1081.20064 |
| idMR:
|
MR2137149 |
| . |
| Date available:
|
2009-09-24T11:24:11Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127989 |
| . |
| Reference:
|
[1] E. Enochs: Torsion free covering modules.Proc. Am. Math. Soc. 121 (1963), 223–235. Zbl 0116.26003, MR 0168617 |
| Reference:
|
[2] E. Enochs: Torsion free covering modules, II.Arch. Math. 22 (1971), 37–52. Zbl 0216.07101, MR 0284463, 10.1007/BF01222534 |
| Reference:
|
[3] E. Enochs: Injective and flat covers, envelopes and resolvents.Israel J. Math. 39 (1981), 189–209. Zbl 0464.16019, MR 0636889, 10.1007/BF02760849 |
| Reference:
|
[4] E. Enochs, J. R. García Rozas and L. Oyonarte: Covering morphisms.Commun. Algebra 28 (2000), 3823–3835. MR 1767592, 10.1080/00927870008827060 |
| Reference:
|
[5] E. Enochs, J. R. García Rozas and L. Oyonarte: Compact coGalois groups.Math. Proc. Camb. Phil. Soc. 128 (2000), 233–244. MR 1735308, 10.1017/S0305004199004156 |
| Reference:
|
[6] I. Kaplansky: Infinite Abelian Groups.University of Michigan Press, Michigan, 1969. Zbl 0194.04402, MR 0233887 |
| Reference:
|
[7] T. Wakamatsu: Stable equivalence for self-injective algebras and a generalization of tilting modules.J. Algebra 134 (1990), 298–325. Zbl 0726.16009, MR 1074331, 10.1016/0021-8693(90)90055-S |
| Reference:
|
[8] J. Xu: Flat covers of modules.Lectures Notes in Math. Vol. 1634, Springer-Verlag, , 1996. Zbl 0860.16002, MR 1438789 |
| . |
