Strong 𝒮 -groups

Ulrich Albrecht; H. Goeters

Colloquium Mathematicae (1999)

  • Volume: 80, Issue: 1, page 97-105
  • ISSN: 0010-1354

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Albrecht, Ulrich, and Goeters, H.. "Strong ${\mathcal {S}}$-groups." Colloquium Mathematicae 80.1 (1999): 97-105. <http://eudml.org/doc/210708>.

@article{Albrecht1999,
author = {Albrecht, Ulrich, Goeters, H.},
journal = {Colloquium Mathematicae},
keywords = {finite rank torsion-free Abelian groups; -groups; strong -groups; subgroups of finite index; endomorphism rings; almost completely decomposable groups; quasi-isomorphisms},
language = {eng},
number = {1},
pages = {97-105},
title = {Strong $\{\mathcal \{S\}\}$-groups},
url = {http://eudml.org/doc/210708},
volume = {80},
year = {1999},
}

TY - JOUR
AU - Albrecht, Ulrich
AU - Goeters, H.
TI - Strong ${\mathcal {S}}$-groups
JO - Colloquium Mathematicae
PY - 1999
VL - 80
IS - 1
SP - 97
EP - 105
LA - eng
KW - finite rank torsion-free Abelian groups; -groups; strong -groups; subgroups of finite index; endomorphism rings; almost completely decomposable groups; quasi-isomorphisms
UR - http://eudml.org/doc/210708
ER -

References

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  1. [1] U. Albrecht, The construction of A-solvable abelian groups, Czechoslovak Math. J. 44 (119) (1994), 413-430. Zbl0823.20056
  2. [2] U. Albrecht and H. P. Goeters, Pure subgroups of A-projective groups, Acta Math. Hungar. 65 (1994), 217-227. Zbl0814.20038
  3. [3] D. M. Arnold, Endomorphism rings and subgroups of finite rank torsion-free abelian groups, Rocky Mountain J. Math. 12 (1982), 241-256. Zbl0502.20031
  4. [4] D. M. Arnold and L. Lady, Endomorphism rings and direct sums of torsion free abelian groups, Trans. Amer. Math. Soc. 211 (1975), 225-237. Zbl0329.20033
  5. [5] R. A. Beaumont and R. S. Pierce, Torsion-free groups of rank 2, Mem. Amer. Math. Soc. 38 (1961). Zbl0122.27802
  6. [6] T. G. Faticoni and H. P. Goeters, On torsion-free Ext, Comm. Algebra 16 (1988), 1853-1876. Zbl0667.20042
  7. [7] H. P. Goeters and W. Ullery, Homomorphic images of completely decomposable finite rank torsion-free groups, J. Algebra 104 (1991), 1-11. Zbl0739.20024
  8. [8] U F. Ulmer, A flatness criterion in Grothendieck categories, Invent. Math. 19 (1973), 331-336. 
  9. [9] R. B. Warfield, Extensions of torsion-free abelian groups of finite rank, Arch. Math. (Basel) 23 (1972), 145-150. Zbl0244.20064

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