# A COUPLED 𝒩-STRUCTURE WITH AN APPLICATION IN A SUBTRACTION ALGEBRA

• Williams, D.R. Prince (Department of Information Technology (Ministry of Higher Education), College of Applied Sciences) ;
• Ahn, Sun Shin (Department of Mathematics Education, Dongguk University) ;
• Jun, Young Bae (Department of Mathematics Education, Gyeongsang National University)
• Accepted : 2014.10.28
• Published : 2014.12.25

#### Abstract

In this paper, we introduce a coupled $\mathcal{N}$-structure which is the generalization of $\mathcal{N}$-structure. Using this coupled $\mathcal{N}$-structure, we have applied in a subtraction algebra and have introduced the notion of a coupled $\mathcal{N}$-subalgebra, a coupled $\mathcal{N}$-ideal. Also the characterization of coupled $\mathcal{N}$-ideal is presented.

#### Acknowledgement

Supported by : Ministry of Higher Education

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