| Title:
|
Butler groups of infinite rank and axiom 3 (English) |
| Author:
|
Albrecht, Ulrich F. |
| Author:
|
Hill, Paul |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
37 |
| Issue:
|
2 |
| Year:
|
1987 |
| Pages:
|
293-309 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
20K15 |
| MSC:
|
20K20 |
| MSC:
|
20K35 |
| idZBL:
|
Zbl 0628.20045 |
| idMR:
|
MR882600 |
| DOI:
|
10.21136/CMJ.1987.102155 |
| . |
| Date available:
|
2008-06-09T15:15:49Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102155 |
| . |
| Reference:
|
[1] D. M. Arnold: Pure subgroups of finite rank completely decomposable groups.Lecture Notes in Mathematics, Vol. 874 (pp. 1-31), Springer-Verlag, Berlin, Heidelberg, New York, 1981. Zbl 0466.20030, MR 0645913, 10.1007/BFb0090520 |
| Reference:
|
[2] D. M. Arnold: Notes on Butler groups and balanced extensions.preprint. Zbl 0601.20050, MR 0850285 |
| Reference:
|
[3] R. Baer: Abelian groups without elements of finite order.Duke Math. J. 3 (1937), 68-122. Zbl 0016.20303, MR 1545974, 10.1215/S0012-7094-37-00308-9 |
| Reference:
|
[4] L. Bican: Splitting in mixed groups.Czech. Math. J. 28 (1978), 356-364. MR 0480778 |
| Reference:
|
[5] L. Bican, L. Salce: Butler groups of infinite rank.Lecture Notes in Mathematics, Vol. 1006, pp. 171-189, Springer-Verlag, Berlin, Heidelberg, New York, 1983. Zbl 0515.20035, MR 0722617, 10.1007/978-3-662-21560-9_6 |
| Reference:
|
[6] M. С. R. Butler: A class of torsion-free abelian groups of finite rank.Proc. London Math. Soc. 75 (1965), 680-698. Zbl 0131.02501, MR 0218446 |
| Reference:
|
[7] L. Fuchs: Infinite Abelian Groups.Vol. I and II, Academic Press, London, New York, 1970 and 1973. Zbl 0209.05503, MR 0255673 |
| Reference:
|
[8] L. Fuchs, P. Hill: The balanced-projective dimension of abelian p-groups.preprint. Zbl 0602.20047, MR 0814915 |
| Reference:
|
[9] P. Griffith: A solution to the splitting mixed group problem of Baer.Trans. Amer. Math. Soc. 139 (1969), 261-269. Zbl 0194.05301, MR 0238957, 10.1090/S0002-9947-1969-0238957-1 |
| Reference:
|
[10] P. Hill: Isotype subgroups of totally projective groups.Lecture Notes in Mathematics, Vol. 874, pp. 305-321, Springer-Verlag, Berlin, Heidelberg, New York, 1983. MR 0645937, 10.1007/BFb0090544 |
| Reference:
|
[11] P. Hill: The third axiom of countability for Abelian groups.Proc. Amer. Math. Soc. 82 (1981), 347-350. Zbl 0467.20041, MR 0612716, 10.1090/S0002-9939-1981-0612716-0 |
| Reference:
|
[12] P. Hill Sind С. Megibben: The theory and classification of abelian p-groups.Math. Zeit., to appear. |
| Reference:
|
[13] L. Lady: Extension of scalars for torsion free modules over Dedekind domains.Symposia Mathematica 23 (1979), 287-305. Zbl 0425.13001, MR 0565611 |
| Reference:
|
[14] F. Richman: An extension of the theory of completely decomposable torsion-free abelian groups.Trans. Amer. Math. Soc. 279 (1983), 175-185. Zbl 0524.20028, MR 0704608, 10.1090/S0002-9947-1983-0704608-X |
| . |
