Generalized Almost Completely Decomposable Groups

Adolf Mader; Lutz Strüngmann

Rendiconti del Seminario Matematico della Università di Padova (2005)

  • Volume: 113, page 47-69
  • ISSN: 0041-8994

How to cite

top

Mader, Adolf, and Strüngmann, Lutz. "Generalized Almost Completely Decomposable Groups." Rendiconti del Seminario Matematico della Università di Padova 113 (2005): 47-69. <http://eudml.org/doc/108658>.

@article{Mader2005,
author = {Mader, Adolf, Strüngmann, Lutz},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {torsion-free Abelian groups; direct sums of rank-one groups; finite essential extensions; generalized almost completely decomposable groups; subgroups of finite index; Butler decompositions; completely decomposable regulating subgroups; sharp subgroups},
language = {eng},
pages = {47-69},
publisher = {Seminario Matematico of the University of Padua},
title = {Generalized Almost Completely Decomposable Groups},
url = {http://eudml.org/doc/108658},
volume = {113},
year = {2005},
}

TY - JOUR
AU - Mader, Adolf
AU - Strüngmann, Lutz
TI - Generalized Almost Completely Decomposable Groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2005
PB - Seminario Matematico of the University of Padua
VL - 113
SP - 47
EP - 69
LA - eng
KW - torsion-free Abelian groups; direct sums of rank-one groups; finite essential extensions; generalized almost completely decomposable groups; subgroups of finite index; Butler decompositions; completely decomposable regulating subgroups; sharp subgroups
UR - http://eudml.org/doc/108658
ER -

References

top
  1. [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. Zbl0466.20030MR645913
  2. [Arn82] D. M. ARNOLD, Finite Rank Torsion Free Abelian Groups and Rings, volume 931 of Lecture Notes in Mathematics, Springer Verlag, 1982. Zbl0493.20034MR665251
  3. [Arn00] D. M. ARNOLD, Abelian Groups and Representations of Finite Partially Ordered Sets, volume 2 of CMS Books in Mathematics, Springer Verlag, 2000. Zbl0959.16011MR1764257
  4. [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. Zbl0522.20037MR722614
  5. [Bae37] R. BAER, Abelian groups without elements of finite order, Duke Math. J., 3 (1937), pp. 68-122. MR1545974JFM63.0074.02
  6. [Elt96] A. ELTER, Torsionsfreie Gruppen mit linear geordneter Typenmenge, PhD thesis, Universität Essen, 1996. Zbl0893.20040
  7. [Erd54] J. ERDÖS, On direct decompositions of torsion free abelian groups, Publ. Math. Debrecen, 3 (1954), pp. 281-88,. Zbl0057.25604MR72132
  8. [Fuc73] L. FUCHS, Infinite Abelian Groups, Vol. I, II, Academic Press, 1970 and 1973. Zbl0209.05503MR255673
  9. [Mad00] A. MADER, Almost Completely Decomposable Groups, volume 13 of Algebra, Logic and Applications, Gordon and Breach Science Publishers, 2000. Zbl0945.20031MR1751515
  10. [MM92] E. MÜLLER - O. MUTZBAUER, Regularität in torsionsfreien abelschen Gruppen, Czechoslovak Math. J., 42 (1992), pp. 279-288. Zbl0786.20036MR1179499
  11. [MS00] A. MADER - L. STRÜNGMANN, Bounded essential extensions of completely decomposable groups, J. Algebra, 229 (2000), pp. 205-233. Zbl0957.20034MR1765779
  12. [Non87] L. G. NONGXA, *-pure subgroups of completely decomposable abelian groups, Proc. Amer. Math. Soc., 100 (1987), pp. 613-618. Zbl0624.20037MR894425
  13. [Pro63] L. PROCHÁZKA, A generalization of a theorem of R. Baer, Comment. Math. Univ. Carolinae, 4 (1963), pp. 105-108. Zbl0135.06101MR178067

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.