Kyoung Ja Lee, Young Bae Jun, and Xiaohong Zhang Hannam University, Gyeongsang National University, Shanghai Maritime University
Abstract : Characterizations of ${\mathcal N}$-subalgebra of type $(\in, \in \vee q)$ are provided. The notion of ${\mathcal N}$-subalgebras of type $(\overline{\in}, \overline{\in} \vee \overline{q})$ is introduced, and its characterizations are discussed. Conditions for an ${\mathcal N}$-subalgebra of type $(\in, \in \vee q)$ (resp. $(\overline{\in}, \overline{\in} \vee \overline{q})$) to be an ${\mathcal N}$-subalgebra of type $(\in, \in)$ are considered.
