Title:
|
On a generalization of a Prüfer-Kaplansky-Procházka theorem (English) |
Author:
|
Salce, Luigi |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
30 |
Issue:
|
4 |
Year:
|
1989 |
Pages:
|
643-645 |
. |
Category:
|
math |
. |
MSC:
|
13A18 |
MSC:
|
13C05 |
MSC:
|
13C10 |
MSC:
|
13C13 |
MSC:
|
13F30 |
MSC:
|
20K20 |
idZBL:
|
Zbl 0717.13005 |
idMR:
|
MR1045892 |
. |
Date available:
|
2008-06-05T21:40:20Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106784 |
. |
Reference:
|
[1] Fuchs L.: Infinite Abelian Groups.Vol. I and II, Academic Press, London, New York, 1971 and 1973. MR 0255673 |
Reference:
|
[2] Fuchs L., Salce L.: Modules over Valuation Domains.Lecture Notes Pure Appl. Math. 97, Marcel Dekker, 1985. Zbl 0578.13004, MR 0786121 |
Reference:
|
[3] Kaplansky I.: Modules over Dedekind rings and valuation rings.Trans. Amer. Math. Soc. 72 (1952), 327-340. Zbl 0046.25701, MR 0046349 |
Reference:
|
[4] Pontryagin L. S.: The theory of topological commutative groups.Ann. Math. 35 (1934), 361-388. Zbl 0009.15601, MR 1503168 |
Reference:
|
[5] Procházka L.: A generalization of a Prüfer-Kaplansky theorem.Lecture Notes Math. 1006, Springer Verlag (1983), 617-629. MR 0722654 |
Reference:
|
[6] Prüfer H.: Theorie der abelschen Gruppen II. Ideale Gruppen.Math. Z. 22 (1925), 222-249. MR 1544721 |
. |