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

Abstract

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.