Title:
|
The nil-degree of a torsion-free Abelian group (English) |
Author:
|
Jackett, David R. |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
21 |
Issue:
|
2 |
Year:
|
1980 |
Pages:
|
393-406 |
. |
Category:
|
math |
. |
MSC:
|
16N40 |
MSC:
|
17A25 |
MSC:
|
20K15 |
MSC:
|
20K20 |
idZBL:
|
Zbl 0436.20034 |
idMR:
|
MR580694 |
. |
Date available:
|
2008-06-05T21:05:02Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106006 |
. |
Reference:
|
[1] A. ABIAN: Linear associative algebras.Pergamon Press, New York, 1971. Zbl 0252.16001, MR 0325659 |
Reference:
|
[2] R. A. BEAUMONT R. S. PIERCE: Torsion-free rings.Illinois J. Math. 5 (1961), 61-98. MR 0148706 |
Reference:
|
[3] R. A. BEAUMONT R. J. WISNER: Rings with additive group which is a torsion-free group of rank two.Acta Sci Math. Szeged 20 (1959), 105-116. MR 0106921 |
Reference:
|
[4] S. FEIGELSTOCK: On the nilstufe of homogeneous groups.Acta Sci. Math. Szeged 36 (1974), 27-28. Zbl 0271.20027, MR 0344360 |
Reference:
|
[5] S. FEIGELSTOCK: The nilstufe of rank two torsion-free groups.Acta Sci. Math. Szeged 36 (1974), 29-32. Zbl 0271.20028, MR 0344361 |
Reference:
|
[6] L. FUCHS: Infinite abelian groups.Vol. I, Academie Press, New York, 1970. Zbl 0209.05503, MR 0255673 |
Reference:
|
[7] L. FUCHS: Infinite abelian groups.Vol. II, Academic Press, New York, 1973. Zbl 0257.20035, MR 0349869 |
Reference:
|
[8] B. J. GARDNER: Rings on completely decomposable torsionfree abelian groups.Comment. Math. Univ. Carolinae 15 (1974), 381-392. MR 0360868 |
Reference:
|
[9] T. SZELE: Gruppentheoretische Beziehungen bei gewissen Ringkonstruktionen.Math. Z. 54 (1951), 168-180. Zbl 0042.25501, MR 0043780 |
Reference:
|
[10] M. C. WEBB: A bound for the nilstufe of a group.Acta Sci. Math. Szeged 39 (1977), 185-188. Zbl 0385.20028, MR 0457591 |
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