KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2014 / Cilt: 43 - Sayı: 1

ON STRONGLY AND SEPARABLY ω1-pω+n-PROJECTIVE ABELIAN p-GROUPS

Peter DANCHEV
Sayfa
51–64
Yayın Tarihi
2014-01-01
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗

Özet

-

Abstract

Let n ≥ 0 be an arbitrary integer. We prove some results for stronglyn-simply presented abelian p-groups with C-decomposable property, extending classical achievements due to Keef in Commun. Algebra (1990).As applications we define the classes of strongly ω-p ω+n -projective andseparably ω-p ω+n -projective abelian p-groups which are also properlycontained in all ω-p ω+n -projectives, recently defined by Keef in J. Alg.Numb. Th. Acad. (2010). Moreover, some principal descriptions concerning these new objects are obtained as well.

🔖

Bu Makaleye Atıf Yap

DANCHEV, P. (2014). ON STRONGLY AND SEPARABLY ω1-pω+n-PROJECTIVE ABELIAN p-GROUPS. Hacettepe Journal of Mathematics and Statistics, Cilt: 43 - Sayı: 1, 51–64. https://ajindex.com/articles/669585

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (14)

  1. K. Benabdallah, J. Irwin and M. Rafiq, A core class of abelian p-groups, Sympos. Math. 13 (1974), 195–206.
  2. P. Danchev, Countable extensions of torsion abelian groups, Arch. Math. (Brno) 41 (3) (2005), 265–272.
  3. P. Danchev, Primary abelian n-Σ-groups revisited, Math. Pannonica 22 (1) (2011), 85–93.
  4. P. Danchev, On weakly ω 1 -p ω+n -projective abelian p-groups, J. Indian Math. Soc. 80 (1-4) (2013), 33–46.
  5. P. Danchev, On ω 1 -weakly p α -projective abelian p-groups, Bull. Malays. Math. Sci. Soc. 37 (2014).
  6. P. Danchev and P. Keef, Generalized Wallace theorems, Math. Scand. 104 (1) (2009), 33–50.
  7. P. Danchev and P. Keef, An application of set theory to ω + n-totally p ω+n -projective primary abelian groups, Mediterr. J. Math. 8 (4) (2011), 525–542.
  8. P. Danchev and P. Keef, On n-simply presented primary abelian groups, Houston J. Math. 38 (4) (2012), 1027–1050.
  9. L. Fuchs, Infinite Abelian Groups, Volumes I and II, Academic Press, New York and London 1970 and 1973.
  10. L. Fuchs and J. Irwin, On elongations of totally projective p-groups by p ω+n -projective p-groups, Czechoslovak Math. J. 32 (4) (1982), 511–515.
  11. P. Keef, Elongations of totally projective groups and p ω+n -projective abelian groups, Commun. Algebra 18 (12) (1990), 4377–4385.
  12. P. Keef, On ω 1 -p ω+n -projective primary abelian groups, J. Alg. Numb. Th. Acad. 1 (1) (2010), 41–75.
  13. C. Megibben, On high subgroups, Pac. J. Math. 14 (4) (1964), 1353–1358.
  14. R. Nunke, Purity and subfunctors of the identity, Topics in Abelian Groups, Scott, Foresman and Co., 1962, 121–171.