MATEMATIČKI VESNIK Vol. 70, No. 1, pp. 64–78 (2018) 

${\Theta}{\Gamma}$ $N$groupH. Nayak, S. P. Kuncham and B. S. KedukodiDepartment of Mathematics, Manipal Institute of Technology, Manipal University, Manipal, Karnataka 576104, India Email: nayakhamsa@gmail.com and Department of Mathematics, Manipal Institute of Technology, Manipal University, Manipal, Karnataka 576104, India Email: syamprasad.k@manipal.edu and Department of Mathematics, Manipal Institute of Technology, Manipal University, Manipal, Karnataka 576104, India Email: babushrisrinivas.k@manipal.eduAbstract: In this paper, we introduce the notion of ${\Theta}{\Gamma}$ $N$group as a generalization of algebraic structures of $N$group and gamma nearring. We present motivating examples of ${\Theta}{\Gamma}$ $N$groups and prove classical isomorphism theorems. Keywords: $N$group, nearring, gamma nearring. Classification (MSC2000): 16Y30 Full text of the article: (for faster download, first choose a mirror)
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