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Projective and Injective Classes of Completely Decomposable Groups

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1006)

Abstract

Several authors have studied projective and injective classes of abelian groups in various settings. A projective (respectively, injective) class of groups is the class of all groups projective (respectively, injective) with respect to some given class of exact sequences.

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References

  1. D. Arnold, Finite Rank Torsion Free Abelian Groups and Rings, Lect. Notes in Math. 831 (1982), Springer-Verlag.

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  2. D. Arnold and C. Vinsonhaler, Pure subgroups of finite rank completely decomposable groups II, to appear in these Proceedings.

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  3. R.B. Warfield Jr., Homomorphisms and duality for torsion free groups, Math. Z. 107 (1968), 189–200.

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© 1983 Springer-Verlag Berlin Heidelberg

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Vinsonhaler, C.I., Wickless, W.J. (1983). Projective and Injective Classes of Completely Decomposable Groups. In: Göbel, R., Lady, L., Mader, A. (eds) Abelian Group Theory. Lecture Notes in Mathematics, vol 1006. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21560-9_4

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  • DOI: https://doi.org/10.1007/978-3-662-21560-9_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12335-4

  • Online ISBN: 978-3-662-21560-9

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