Some Characterizations of $h$-Regular $\Gamma$-Hemiring in terms of Cubic $h$-Ideals
Abstract
Keywords
Γ-hemiring, cubic h-ideal, h-intra-hemiregular, h-hemiregular
References
- [1] V. Chinnadurai, K. Bharathivelan, Cubic bi-ideals in near-rings, International Journal of computer and Mathematical Sciences, Vol. 5, Issue 2(2016) 44 - 52
- [2] V. Chinnadurai, K. Bharathivelan, Cubic Lateral Ideals in Ternary Near - Rings, International Advanced Research Journal in Science, Engineering and Technology, Vol. 3, Issue11(November 2016) 209 - 215
- [3] J.S.Golan, Semirings and their applications, Kluwer Academic Publishers,1999.
- [4] M. Henriksen, Ideals in semirings with commutative addition, Amer. Math. Soc. Notices, 6(1958) 321.
- [5] K.Iizuka, On the Jacobson radical of semiring, Tohoku Math.J., Vol.11 No. 2(1959), 409-421
- [6] Y.B. Jun, M.A.Ozt¨ urk, S.Z.Song,¨ On Fuzzy h-ideals in hemiring, Information sciences, 162(2004), 211-226.
- [7] Y.B. Jun, S.T. Jung and M.S. Kim, Cubic subgroups, Annals of Fuzzy Mathematics and Informatics, 2(2011), 9 - 15.
- [8] Y.B. Jun, C.S. Kim and K.O. Yang, Cubic sets, Annals of Fuzzy Mathematics and Informatics, 4(2012), 83 - 98.
- [9] A. Khan, Y.B. Jun, S.I.A. Shah, M. Ali, Characterizations of hemirings in terms of cubic h-ideals, Soft Comput, DOI 10.1007/s00500-014-1396-4
- [10] D.R.La Torre, On h-ideals and k-ideals in hemirings,Publ. Math. Debrecen 12(1965), 219-226.
