NEAT AND NEAT-HIGH EXTENSIONS

Article Sidebar

PDF
Published: Mar 1, 1992
DOI: https://doi.org/10.5556/j.tkjm.23.1992.4523
Keywords:
neat-high subgroup pure-high subgroup neat subgroup pure subgroup neat-high extension pure-high extension neat extension pure extension splitting neat exact sequence

Main Article Content

ASIF MASHHOOD
Department of Mathematics, Aligarh Muslim University, Aligarh 202 002 (U.P.), India.
MUSHEER AHMAD
Department of Mathematics, Aligarh Muslim University, Aligarh 202 002 (U.P.), India.
SEEMA JAYES
Department of Mathematics, Aligarh Muslim University, Aligarh 202 002 (U.P.), India.

Abstract




In the present paper, we find conditions that change a neat­ high subgroup into a pure-high subgroup and a neat subgroup, to a pure subgroup. It is shown that a neat-high extension can be transformed into a pure-high extension and a neat extension, to a pure extension. Furthermore, splitting conditions for a neat exact sequence are obtained.




Article Details

How to Cite
MASHHOOD, A., AHMAD, M., & JAYES, S. (1992). NEAT AND NEAT-HIGH EXTENSIONS. Tamkang Journal of Mathematics, 23(1), 15–19. https://doi.org/10.5556/j.tkjm.23.1992.4523
Issue
Vol. 23 No. 1 (1992)
Section
Papers
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

References

L. Fuchs, Abelian Groups, Pulishing House of the Hungarian Academy of Sciences, Bu­ dapest (1958).

L. Fuchs, Infinite Abelian Groups, Vol. 1, Academic Press New York and London (1970).

D. K. Harrison, J. M. Irwin, C. L. Peercy and E. A. Walker, "High Extensions of Abelian Groups", Acta Moth. Acacl. Sci. Hungar, 14, pp. 319-330, 1963.

K. Honda, Realism in the Theory of Abelian Groups 1, Comm. Math. University St. Pauli 5, pp. 37-75, 1956.