| Title:
|
Die Endomorphismenringe abelscher Gruppen und die Darstellung von Ringen durch Matrizenringe (German) |
| Title:
|
The rings of endomorphisms of Abelian groups and the representation of rings by rings of matrices (English) |
| Author:
|
Dlab, Vlastimil |
| Language:
|
German |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
7 |
| Issue:
|
4 |
| Year:
|
1957 |
| Pages:
|
485-523 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
13.00 |
| MSC:
|
20.00 |
| idZBL:
|
Zbl 0093.02902 |
| idMR:
|
MR0094383 |
| DOI:
|
10.21136/CMJ.1957.100265 |
| . |
| Date available:
|
2008-06-09T12:55:33Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100265 |
| . |
| Reference:
|
[1] R. Baer: Primary abelian groups and their automorphisms.Amer. J. Math., 59 (1937), 99-117. Zbl 0016.01404, MR 1507222, 10.2307/2371564 |
| Reference:
|
[2] R. Baer: Аbeliаn groups that are direct summands of every containing abelian group.Bull. Amer. Math. Soc., 46 (1940), 800-806. MR 0002886, 10.1090/S0002-9904-1940-07306-9 |
| Reference:
|
[3] F. Dlab: D-hodnost Abelovy grupy.Čas. pro pěst, mat., 82 (1957), 314-334. MR 0092785 |
| Reference:
|
[4] J. L. Dorroh: Concerning adjunctions to algebras.Bull. Amer. Math. Soc, 38 (1932) 85-88. Zbl 0003.38701, MR 1562332, 10.1090/S0002-9904-1932-05333-2 |
| Reference:
|
[5] N. Jacobson: The Theorie of Rings.New York 1943. |
| Reference:
|
[6] 3. M. Кишкина: Эндоморфизмы р-примитивных абелевых групп без кручения.Изв. Акад. наук СССР, сер. мат., 9 (1945), 201-232. Zbl 0119.10101, MR 0018181 |
| Reference:
|
[7] Л. Я. Куликов: К теории абелевых групп произвольной мощности.Мат. сб. (нов. с), 16 (1945), 129-162. Zbl 0119.10101, MR 0018180 |
| Reference:
|
[8] А. О. Kurosch: Gruppentheorie.Berlin 1953. Zbl 0053.01001 |
| Reference:
|
[9] А. Г. Курош: Теория групп.2-е изд., Москва 1953. Zbl 1151.94459 |
| Reference:
|
[10] N. Н. McCoy: Rings and Ideals.Carus Math. Monographs 7, Baltimore 1948. Zbl 0041.36406, MR 0026038 |
| Reference:
|
[11] M. Shiffman: The ring of automorphisms of an abelian group.Duke math. J., 6 (1940), 579-597. Zbl 0024.01702, MR 0002136, 10.1215/S0012-7094-40-00645-7 |
| Reference:
|
[12] K. Shoda: Über die Automorphismen einer endlichen Abelschen Gruppe, Math.Ann., 100 (1928), 674-686. MR 1512510, 10.1007/BF01448871 |
| Reference:
|
[13] K. Shoda: Über den Automorphismenring bzw. die Automorphismengruppe einer endlichen Abelschen Gruppe.Proc. Acad. Tokyo, 6 (1930), 9-11. MR 1568283, 10.3792/pia/1195581445 |
| Reference:
|
[14] B. L. van der Waerden: Moderne Algebra I..Berlin 1937. |
| . |
