COUPLED N-STRUCTURES APPLIED TO IDEALS IN d-ALGEBRAS

COUPLED N -STRUCTURES APPLIED TO IDEALS IN d-ALGEBRAS

The notions of coupled N -subalgebra, coupled (positive implicative) N -ideals of d-algebras are introduced, and related properties are investigated. Characterizations of a coupled N -subalgebra and a coupled (positive implicative) N -ideals of d-algebras are given. Relations among a coupled N -subalgebra, a coupled N -ideal and a coupled positive implicative N -ideal of d-algebras are discussed.

-Structures Applied to Closed Ideals in BCH-Algebras

The notions of N-subalgebras and N-closed ideals in BCH-algebras are introduced, and the relation between N-subalgebras and N-closed ideals is considered. Characterizations of Nsubalgebras andN-closed ideals are provided. Using special subsets,N-subalgebras andN-closed ideals are constructed. A condition for anN-subalgebra to be anN-closed ideal is discussed. Given an N-structure, the greatestN...

Soft set theory applied to ideals in d-algebras

The notions of (transitive) soft d-algebras, soft edge d-algebras, soft d-algebras, soft dideals, soft d-ideals, soft d-ideals, and d-idealistic (d-idealistic, or d-idealistic) soft dalgebras are introduced. Also, their related properties are surveyed. © 2008 Elsevier Ltd. All rights reserved.

The Theory of Falling Shadows Applied to d-Ideals in d-Algebras

Neutrosophic N-Structures Applied to BCK/BCI-Algebras

Neutrosophic N -structures with applications in BCK/BCI-algebras is discussed. The notions of a neutrosophic N -subalgebra and a (closed) neutrosophic N -ideal in a BCK/BCI-algebra are introduced, and several related properties are investigated. Characterizations of a neutrosophic N -subalgebra and a neutrosophic N -ideal are considered, and relations between a neutrosophic N -subalgebra and a ...