Coupled N-structures and its application in BCK/BCI-algebras

Document Type: Regular Paper


1 Department of Mathematics Education, Gyeongsang ational University, Jinju(=Chinju) 660-701, Korea

2 Department of Mathematics Education, Dongguk University, Seoul 100-715, Korea

3 Department of Information Technology, College of Applied Sciences, Post Box: 135, Sohar-311, Sultanate of Oman


Coupled N-structures are introduced, and its application is discussed in BCK/BCI- algebras. The notions of a coupled N-subalgerba, a coupled N-ideal and a coupled NC- ideal are introduced, and their relations are investigated. Characterizations of a coupled N-ideal and a coupled NC-ideal are discussed. Conditions for a coupled N-subalgerba to be a coupled N-ideal are considered.