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