SavedAdd your journal

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

ON STRONGLY AND SEPARABLY ?1-p?+n-PROJECTIVE ABELIAN p-GROUPS

Peter DANCHEV
Pages
51–64
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Moreover, some principal descriptions concerning these new objects are obtained as well.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Let n>= 0 be an arbitrary integer.
📊
Key Findings & Data:Algebra (1990).As applications we define the classes of strongly ?1-p?+n-projective andseparably ?1-p?+n-projective abelian p-groups which are also properlycontained in all ?1-p?+n-projectives, recently defined by Keef in J.
💡
Conclusion & Impact:Moreover, some principal descriptions concerning these new objects are obtained as well.
🔬Design:Research Article
📍Scope:2010 Verileri
⚙️Variables:Domain Parameters

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 ?1-p?+n-projective andseparably ?1-p?+n-projective abelian p-groups which are also properlycontained in all ?1-p?+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.

🔖

Cite This Article

DANCHEV, P. (2022). ON STRONGLY AND SEPARABLY ?1-p?+n-PROJECTIVE ABELIAN p-GROUPS. Hacettepe Journal of Mathematics and Statistics, Cilt: 43 - Sayı: 1, 51–64. https://ajindex.com/articles/530375

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (13)

  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-?-groups revisited, Math. Pannonica 22 (1) (2011), 85-93
  4. P. Danchev, On weakly ?1-p ?+n-projective abelian p-groups, J. Indian Math. Soc. 80 (1-4) (2013), 33-46
  5. P. Danchev, On ?1-weakly p ?-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 ? + n-totally p ?+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
  8. L. Fuchs, Infinite Abelian Groups, Volumes I and II, Academic Press, New York and London 1970 and 1973
  9. L. Fuchs and J. Irwin, On elongations of totally projective p-groups by p ?+n-projective p-groups, Czechoslovak Math. J. 32 (4) (1982), 511-515
  10. P. Keef, Elongations of totally projective groups and p ?+n-projective abelian groups, Commun. Algebra 18 (12) (1990), 4377-4385
  11. P. Keef, On ?1-p ?+n-projective primary abelian groups, J. Alg. Numb. Th. Acad. 1 (1) (2010), 41-75
  12. C. Megibben, On high subgroups, Pac. J. Math. 14 (4) (1964), 1353-1358
  13. R. Nunke, Purity and subfunctors of the identity, Topics in Abelian Groups, Scott, Foresman and Co., 1962, 121-171.