MATEMATIČKI VESNIK, Vol. 70, No. 1, pp. 64

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

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$Θ Γ$ $N$ -group

H. Nayak, S. P. Kuncham and B. S. Kedukodi

Department of Mathematics, Manipal Institute of Technology, Manipal University, Manipal, Karnataka 576104, India E-mail: nayakhamsa@gmail.com and Department of Mathematics, Manipal Institute of Technology, Manipal University, Manipal, Karnataka 576104, India E-mail: syamprasad.k@manipal.edu and Department of Mathematics, Manipal Institute of Technology, Manipal University, Manipal, Karnataka 576104, India E-mail: babushrisrinivas.k@manipal.edu

Abstract: In this paper, we introduce the notion of $Θ Γ$ $N$ -group as a generalization of algebraic structures of $N$ -group and gamma nearring. We present motivating examples of $Θ Γ$ $N$ -groups and prove classical isomorphism theorems.

Keywords: $N$ -group, nearring, gamma nearring.

Classification (MSC2000): 16Y30

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Electronic fulltext finalized on: 16 Dec 2017. This page was last modified: 11 Mai 2018.

© 2017 Mathematical Society of Serbia (Društvo matematičara Srbije)
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ΘΓ N-group

H. Nayak, S. P. Kuncham and B. S. Kedukodi

$Θ Γ$ $N$ -group