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TWO EXAMPLES ON UNIONS OF ABELIAN $p$-GROUPS

Yıl 2017, Cilt: 5 Sayı: 2, 114 - 118, 15.10.2017

Öz

We give two constructive examples of groups that are special unions of abelian $p$-groups. This sheds some light on certain problematic aspects in the present subject.

Kaynakça

  • [1] B. Balof and P. Keef, Invariants on primary abelian groups and a problem of Nunke, Note Mat. 29 (2009), 83-114.
  • [2] P. V. Danchev, A nice basis for $S(FG)/G_p$, Atti Sem. Mat. Fis. Univ. Modena e Reggio Emilia 53 (2005), 3-11.
  • [3] P. V. Danchev, Nice bases for primary abelian groups, Ann. Univ. Ferrara (Sci. Mat.) 53 (2007), 39-50.
  • [4] P. V. Danchev, Abelian groups with a nice basis, C. R. Acad. Bulg. Sci. 60 (2007), 219-224.
  • [5] P. V. Danchev, Generalized Dieudonne and Hill criteria, Portugal. Math. 65 (2008), 121-142.
  • [6] P. V. Danchev, Nice bases for mixed and torsion-free abelian groups, Bull. Malays. Math. Sci. Soc. 33 (2010), 393-403.
  • [7] P. V. Danchev and P. W. Keef, Nice bases and thickness in primary abelian groups, Rocky Mount. J. Math. 41 (2011), 1127-1143.
  • [8] L. Fuchs, Abelian Groups, Springer, Switzerland (2015).
  • [9] P. Hill, Primary groups whose subgroups of smaller cardinality are direct sums of cyclic groups, Pac. J. Math. 42 (1972), 63-67.
  • [10] P. Hill, Almost coproducts of nite cyclic groups, Comment. Math. Univ. Carol. 36 (1995), 795-804.
  • [11] P. Hill and W. Ullery, Almost totally projective groups, Czechoslovak Math. J. 46 (1996),249-258.
Yıl 2017, Cilt: 5 Sayı: 2, 114 - 118, 15.10.2017

Öz

Kaynakça

  • [1] B. Balof and P. Keef, Invariants on primary abelian groups and a problem of Nunke, Note Mat. 29 (2009), 83-114.
  • [2] P. V. Danchev, A nice basis for $S(FG)/G_p$, Atti Sem. Mat. Fis. Univ. Modena e Reggio Emilia 53 (2005), 3-11.
  • [3] P. V. Danchev, Nice bases for primary abelian groups, Ann. Univ. Ferrara (Sci. Mat.) 53 (2007), 39-50.
  • [4] P. V. Danchev, Abelian groups with a nice basis, C. R. Acad. Bulg. Sci. 60 (2007), 219-224.
  • [5] P. V. Danchev, Generalized Dieudonne and Hill criteria, Portugal. Math. 65 (2008), 121-142.
  • [6] P. V. Danchev, Nice bases for mixed and torsion-free abelian groups, Bull. Malays. Math. Sci. Soc. 33 (2010), 393-403.
  • [7] P. V. Danchev and P. W. Keef, Nice bases and thickness in primary abelian groups, Rocky Mount. J. Math. 41 (2011), 1127-1143.
  • [8] L. Fuchs, Abelian Groups, Springer, Switzerland (2015).
  • [9] P. Hill, Primary groups whose subgroups of smaller cardinality are direct sums of cyclic groups, Pac. J. Math. 42 (1972), 63-67.
  • [10] P. Hill, Almost coproducts of nite cyclic groups, Comment. Math. Univ. Carol. 36 (1995), 795-804.
  • [11] P. Hill and W. Ullery, Almost totally projective groups, Czechoslovak Math. J. 46 (1996),249-258.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Konular Mühendislik
Bölüm Articles
Yazarlar

PETER Danchev

Yayımlanma Tarihi 15 Ekim 2017
Gönderilme Tarihi 15 Ekim 2017
Kabul Tarihi 31 Mayıs 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 5 Sayı: 2

Kaynak Göster

APA Danchev, P. (2017). TWO EXAMPLES ON UNIONS OF ABELIAN $p$-GROUPS. Konuralp Journal of Mathematics, 5(2), 114-118.
AMA Danchev P. TWO EXAMPLES ON UNIONS OF ABELIAN $p$-GROUPS. Konuralp J. Math. Ekim 2017;5(2):114-118.
Chicago Danchev, PETER. “TWO EXAMPLES ON UNIONS OF ABELIAN $p$-GROUPS”. Konuralp Journal of Mathematics 5, sy. 2 (Ekim 2017): 114-18.
EndNote Danchev P (01 Ekim 2017) TWO EXAMPLES ON UNIONS OF ABELIAN $p$-GROUPS. Konuralp Journal of Mathematics 5 2 114–118.
IEEE P. Danchev, “TWO EXAMPLES ON UNIONS OF ABELIAN $p$-GROUPS”, Konuralp J. Math., c. 5, sy. 2, ss. 114–118, 2017.
ISNAD Danchev, PETER. “TWO EXAMPLES ON UNIONS OF ABELIAN $p$-GROUPS”. Konuralp Journal of Mathematics 5/2 (Ekim 2017), 114-118.
JAMA Danchev P. TWO EXAMPLES ON UNIONS OF ABELIAN $p$-GROUPS. Konuralp J. Math. 2017;5:114–118.
MLA Danchev, PETER. “TWO EXAMPLES ON UNIONS OF ABELIAN $p$-GROUPS”. Konuralp Journal of Mathematics, c. 5, sy. 2, 2017, ss. 114-8.
Vancouver Danchev P. TWO EXAMPLES ON UNIONS OF ABELIAN $p$-GROUPS. Konuralp J. Math. 2017;5(2):114-8.
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