...

  • Home
  • Articles
    • Current Issue
    • Archives
  • Authors
    • Author Guidelines
    • Policies
    • Downloads
  • Editors
  • Reviewers
...

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 31 | Number 1 | Year 2016 | Article Id. IJMTT-V31P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V31P510

Some Results on Divisibility of Hyper Groups


K. Gohila
Abstract

In this paper we establish some results on divisible hyper groups as a generalization of the usual hyper groups. We investigate some of their properties besides constructing some divisible hyper groups.

Keywords
Hyper groups defined from groups, Divisibility canonical hyper group, Divisibility sub canonical hyper group, Divisibility sub hyper group.
References

[1] D. R. Brown and J. G. Latorre, A characterization of uniquely divisible commutative semi groups, Pacific J.Math.,18 (1966), 57-60.
[2] J.A. Hildebrant, On compact divisible abelian groups, Proc. Amer. Math. Soc., 19 (1968), 405-410.
[3] T. W. Hungerford, Algebra, Springer-verlag, New York, 1984.
[4] Marty. F. , Sur un generalisation de la notion de groupe Congres des Mathematiciens Scand., Stockholm 1934, pp. 45- 49.
[5] Mittas. C. G., hypergroups canoniques, Mathematica Balkanica, 2, (1979), 165-179.
[6] S. Pianskool, S.Chaopraknoi and Yupaporn Kemprasit, Divisibility of Some Hyper Groups Defined from Groups, General MathematicsVol.14, No. 1 (2000), 77-86.
[7] T. Tamura,Minimal commutative divisible semi groups, Bull. Amer. Math. Soc.,69 (1963),713-716.
[8] N. Triphop and A. Wasanawichit, Some divisible matrix groups, Italian J. Pure and Appl. Math., (to appear).
[9] A. Wasanawichit and S. Pianskool, Divisibility of certain periodic semi groups, SEA Bull. Math., 29 (2005), 807-812.

Citation :

K. Gohila, "Some Results on Divisibility of Hyper Groups," International Journal of Mathematics Trends and Technology (IJMTT), vol. 31, no. 1, pp. 41-43, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V31P510

  • PDF
  • Abstract
  • Keywords
  • References
  • Citation
Abstract Keywords References Citation
  • Home
  • Authors Guidelines
  • Paper Submission
  • APC
  • Archives
  • Downloads
  • Open Access
  • Publication Ethics
  • Copyrights Infringement
  • Journals
  • FAQ
  • Contact Us

Follow Us

Copyright © 2025 Seventh Sense Research Group® . All Rights Reserved