Generalized Almost Completely Decomposable Groups
Mader, Adolf ; Strüngmann, Lutz
Rendiconti del Seminario Matematico della Università di Padova, Tome 113 (2005), p. 47-69 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 2005-01-01
@article{RSMUP_2005__113__47_0,
     author = {Mader, Adolf and Str\"ungmann, Lutz},
     title = {Generalized Almost Completely Decomposable Groups},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {113},
     year = {2005},
     pages = {47-69},
     mrnumber = {2168980},
     zbl = {1149.20045},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_2005__113__47_0}
}

Mader, Adolf; Strüngmann, Lutz. Generalized Almost Completely Decomposable Groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 113 (2005) pp. 47-69. http://gdmltest.u-ga.fr/item/RSMUP_2005__113__47_0/

[Arn81] D. M. Arnold, Pure subgroups of finite rank completely decomposable groups. In Proceedings of the Oberwolfach Abelian Group Theory Conference, volume 874 of Lecture Notes in Mathematics, SpringerVerlag (1981), pp. 1-31. | MR 645913 | Zbl 0466.20030

[Arn82] D. M. Arnold, Finite Rank Torsion Free Abelian Groups and Rings, volume 931 of Lecture Notes in Mathematics, Springer Verlag, 1982. | MR 665251 | Zbl 0493.20034

[Arn00] D. M. Arnold, Abelian Groups and Representations of Finite Partially Ordered Sets, volume 2 of CMS Books in Mathematics, Springer Verlag, 2000. | MR 1764257 | Zbl 0959.16011

[AV84] D. M. Arnold - C. Vinsonhaler, Pure subgroups of finite rank completely decomposable groups II. In Proceedings of the Honolulu Abelian Groups Conference, volume 1006 of Lecture Notes in Mathematics, Springer-Verlag (1984), pp. 97-143. | MR 722614 | Zbl 0522.20037

[Bae37] R. Baer, Abelian groups without elements of finite order, Duke Math. J., 3 (1937), pp. 68-122. | JFM 63.0074.02 | MR 1545974

[Elt96] A. Elter, Torsionsfreie Gruppen mit linear geordneter Typenmenge, PhD thesis, Universität Essen, 1996. | Zbl 0893.20040

[Erd54] J. Erdös, On direct decompositions of torsion free abelian groups, Publ. Math. Debrecen, 3 (1954), pp. 281-88,. | MR 72132 | Zbl 0057.25604

[Fuc73] L. Fuchs, Infinite Abelian Groups, Vol. I, II, Academic Press, 1970 and 1973. | MR 255673 | Zbl 0209.05503

[Mad00] A. Mader, Almost Completely Decomposable Groups, volume 13 of Algebra, Logic and Applications, Gordon and Breach Science Publishers, 2000. | MR 1751515 | Zbl 0945.20031

[MM92] E. Müller - O. Mutzbauer, Regularität in torsionsfreien abelschen Gruppen, Czechoslovak Math. J., 42 (1992), pp. 279-288. | MR 1179499 | Zbl 0786.20036

[MS00] A. Mader - L. Strüngmann, Bounded essential extensions of completely decomposable groups, J. Algebra, 229 (2000), pp. 205-233. | MR 1765779 | Zbl 0957.20034

[Non87] L. G. Nongxa, *-pure subgroups of completely decomposable abelian groups, Proc. Amer. Math. Soc., 100 (1987), pp. 613-618. | MR 894425 | Zbl 0624.20037

[Pro63] L. Procházka, A generalization of a theorem of R. Baer, Comment. Math. Univ. Carolinae, 4 (1963), pp. 105-108. | MR 178067 | Zbl 0135.06101