Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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ON ALMOST ω1-pω+n-PROJECTIVE ABELIAN p-GROUPS

  • Danchev, Peter V. (Department of Mathematics Plovdiv State University "P. Hilendarski")
  • Received : 2014.03.23
  • Accepted : 2014.09.18
  • Published : 2014.09.30
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Abstract

We define the class of almost ${\omega}_1-p^{\omega+n}$-projective abelian p-primary groups and investigate their basic properties. The established results extend classical achievements due to Hill (Comment. Math. Univ. Carol., 1995), Hill-Ullery (Czech. Math. J., 1996) and Keef (J. Alg. Numb. Th. Acad., 2010).

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References

  1. B. A. Balof and P. W. Keef, Invariants on primary abelian groups and a problem of Nunke, Note Mat. 29 (2) (2009), 83-114.
  2. P. V. Danchev, On extensions of primary almost totally projective groups, Math. Bohemica 133 (2) (2008), 149-155.
  3. P. V. Danchev, On weakly ${\omega}_1-p^{{\omega}+n}$-projective abelian p-groups, J. Indian Math. Soc. 80 (1-2) (2013), 33-46.
  4. P. V. Danchev and P. W. Keef, Generalized Wallace theorems, Math. Scand. 104 (1) (2009), 33-50. https://doi.org/10.7146/math.scand.a-15083
  5. P. V. Danchev and P. W. Keef, Nice elongations of primary abelian groups, Publ. Mat. 54 (2) (2010), 317-339. https://doi.org/10.5565/PUBLMAT_54210_02
  6. L. Fuchs, Infinite Abelian Groups, volumes I and II, Acad. Press, New York and London, 1970 and 1973.
  7. P. Griffith, Infinite Abelian Group Theory, The University of Chicago Press, Chicago-London, 1970.
  8. P. D. Hill, Almost coproducts of finite cyclic groups, Comment. Math. Univ. Carolin. 36 (4) (1995), 795-804.
  9. P. D. Hill and W. D. Ullery, Isotype separable subgroups of totally projective groups, Abelian Groups and Modules, Proc. Padova Conf., Padova 1994, Kluwer Acad. Publ. 343 (1995), 291-300.
  10. P. D. Hill and W. D. Ullery, Almost totally projective groups, Czechoslovak Math. J. 46 (2) (1996), 249-258.
  11. P. W. Keef, On ${\omega}_1-p^{{\omega}+n}$-projective primary abelian groups, J. Algebra Numb. Th. Acad. 1 (1) (2010), 41-75.