28
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

–HIGH SUBGROUPS OF ABELIAN GROUPS OF TORSION-FREE RANK 1

Pages 5941-5953 | Received 01 Aug 2001, Published online: 31 Aug 2006

REFERENCES

  • Benabdallah , K. 1974 . On Pure–High Subgroups of Abelian Groups . Canad. Math. Bull. , 17 ( 4 ) : 479 – 482 .
  • Benabdallah , K. p–centers and p–kernels in Primary Abelian Groups, Proceedings of the Conference On Algebra and Geometry in Kuwait, February 8–12, 31–37, 1981
  • Benabdallah , K. and Irwin , J. 1968 . On N–High Subgroups of Abelian Groups . Bull. Soc. Math. France , 96 : 337 – 346 .
  • Benabdallah , K. and Irwin , J. 1968 . N–High Subgroups and p-adic Topology . Comment. Math. Univ. St. Pauli , 21 ( 2 ) : 43 – 45 .
  • Benabdallah , K. and Irwin , J. 1974 . Pure N–High Subgroups, p–adic Topology and Direct Sums of Cyclic Groups . Can. J. Math. , 26 : 322 – 327 .
  • Benabdallah , K. , Irwin , J. and Rafiq , M. 1974 . N–High Subgroups of Abelian p-Groups . Arch. Math. , 15 : 29 – 34 .
  • Benabdallah , K. and Irwin , J. 1975 . An Application of B–High Subgroups of Abelian p-Groups . J. Algebra , 34 ( 2 ) : 213 – 216 .
  • Benabdallah , K. and Okuyama , T. 1992 . On Subsocles of Primary Abelian Groups . Rocky Mountain J. Math. , 22 ( 3 ) : 813 – 818 .
  • Cutler , D. 1983 . Primary Abelian Groups Having All High Subgroups Isomorphic . Proc. Amer. Math. Soc. , 83 ( 3 ) : 467 – 470 .
  • Cutler , D. 1983 . High Subgroups of Primary Abelian Groups of Length ω+n . J. Algebra , 83 ( 2 ) : 502 – 509 .
  • Fuchs , L. 1970 and 1973 . Infinite Abelian Groups Vol. I,II , Academic Press .
  • Honda , K. 1956 . Realism in the Theory of Abelian Groups, I . Comment. Math. Univ. St–Pauli, Tokyo , 5 : 37 – 75 .
  • Irwin , J. 1961 . High Subgroups of Abelian Torsion Groups . Pacific J. Math. , 11 ( 4 ) : 1375 – 1384 .
  • Irwin , J. and Walker , E.A. 1961 . On N–High Subgroups of Abelian Groups . Pacific J. Math. , 11 ( 4 ) : 1363 – 1374 .
  • Krivonos , F.V. 1975 . On N–High Subgroups of Abelian Groups . Vestnik Moskovskogo Universitits Mathematica. , 30 : 58 – 64 .
  • Megibben , C. 1964 . On High Subgroups . Pacific J. Math. , 14 ( 4 ) : 1353 – 1358 .
  • Okuyama , T. 1985 . On N–Pure Gigh Subgroups of Abelian Torsion Groups . Comment. Math. Univ. St–Pauli, Tokyo, , 34 ( 1 ) : 1 – 8 .
  • Okuyama , T. 1998 . On Almost–Dense Extension Groups of Torsion–Free Groups . J. Algebra , 202 : 202 – 228 .
  • Okuyama , T. 2001 . On Locally Cyclic Abelian Groups of Torsion–Free Rank 1 . Kyushu J. Math. , 55 ( 2 ) : 301 – 320 .
  • Pierce , R.S. 1963 . Center of Purity in Abelian Groups . Pacific J. Math. , 13 : 215 – 219 .
  • Reid , J.D. 1963 . On Subgroups of an Abelian Group Maximal Disjoint From a Given Subgroup . Pacific J. Math. , 13 : 657 – 664 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.