An extension of the theory of completely decomposable torsion-free abelian groups
HTML articles powered by AMS MathViewer
- by Fred Richman
- Trans. Amer. Math. Soc. 279 (1983), 175-185
- DOI: https://doi.org/10.1090/S0002-9947-1983-0704608-X
- PDF | Request permission
Abstract:
We construct a class of strongly indecomposable finite rank torsion-free groups that includes the rank-one groups, and develop a complete set of invariants for them and their direct sums.References
- David M. Arnold, Pure subgroups of finite rank completely decomposable groups, Abelian group theory (Oberwolfach, 1981) Lecture Notes in Math., vol. 874, Springer, Berlin-New York, 1981, pp. 1–31. MR 645913
- D. Arnold, R. Hunter, and F. Richman, Global Azumaya theorems in additive categories, J. Pure Appl. Algebra 16 (1980), no. 3, 223–242. MR 558485, DOI 10.1016/0022-4049(80)90026-2
- M. C. R. Butler, A class of torsion-free abelian groups of finite rank, Proc. London Math. Soc. (3) 15 (1965), 680–698. MR 218446, DOI 10.1112/plms/s3-15.1.680
- László Fuchs, Infinite abelian groups. Vol. II, Pure and Applied Mathematics. Vol. 36-II, Academic Press, New York-London, 1973. MR 0349869
Bibliographic Information
- © Copyright 1983 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 279 (1983), 175-185
- MSC: Primary 20K15; Secondary 20K20, 20K25, 20K40
- DOI: https://doi.org/10.1090/S0002-9947-1983-0704608-X
- MathSciNet review: 704608