The nil-degree of a torsion-free Abelian group

David R. Jackett

Commentationes Mathematicae Universitatis Carolinae (1980)

  • Volume: 021, Issue: 2, page 393-406
  • ISSN: 0010-2628

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Jackett, David R.. "The nil-degree of a torsion-free Abelian group." Commentationes Mathematicae Universitatis Carolinae 021.2 (1980): 393-406. <http://eudml.org/doc/17044>.

@article{Jackett1980,
author = {Jackett, David R.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {additive group of rings; nil-degree; torsion-free groups},
language = {eng},
number = {2},
pages = {393-406},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The nil-degree of a torsion-free Abelian group},
url = {http://eudml.org/doc/17044},
volume = {021},
year = {1980},
}

TY - JOUR
AU - Jackett, David R.
TI - The nil-degree of a torsion-free Abelian group
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1980
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 021
IS - 2
SP - 393
EP - 406
LA - eng
KW - additive group of rings; nil-degree; torsion-free groups
UR - http://eudml.org/doc/17044
ER -

References

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  1. A. ABIAN, Linear associative algebras, Pergamon Press, New York, 1971. (1971) Zbl0252.16001MR0325659
  2. R. A. BEAUMONT R. S. PIERCE, Torsion-free rings, Illinois J. Math. 5 (1961), 61-98. (1961) MR0148706
  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. (1959) MR0106921
  4. S. FEIGELSTOCK, On the nilstufe of homogeneous groups, Acta Sci. Math. Szeged 36 (1974), 27-28. (1974) Zbl0271.20027MR0344360
  5. S. FEIGELSTOCK, The nilstufe of rank two torsion-free groups, Acta Sci. Math. Szeged 36 (1974), 29-32. (1974) Zbl0271.20028MR0344361
  6. L. FUCHS, Infinite abelian groups, Vol. I, Academie Press, New York, 1970. (1970) Zbl0209.05503MR0255673
  7. L. FUCHS, Infinite abelian groups, Vol. II, Academic Press, New York, 1973. (1973) Zbl0257.20035MR0349869
  8. B. J. GARDNER, Rings on completely decomposable torsionfree abelian groups, Comment. Math. Univ. Carolinae 15 (1974), 381-392. (1974) MR0360868
  9. T. SZELE, Gruppentheoretische Beziehungen bei gewissen Ringkonstruktionen, Math. Z. 54 (1951), 168-180. (1951) Zbl0042.25501MR0043780
  10. M. C. WEBB, A bound for the nilstufe of a group, Acta Sci. Math. Szeged 39 (1977), 185-188. (1977) Zbl0385.20028MR0457591

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