Abstract
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.
MSC: 16Y30
Pages: 64--78
Volume 70 , Issue 1 , 2018
Published by Društvo matematičara Srbije Kneza Mihaila 35/IV, P.O.B. 355, 11000 Belgrade, Serbia E-mail: drustvomatematicara(at)yahoo.com Fax: +381 11 3036 819 ISSN 2406-0682 (Online), ISSN 0025–5165 (Print)