Falling d-Ideals in d-Algebras

الملخص EN

Based on the theory of a falling shadow which was first formulated by Wang (1985), a theoretical approach of the ideal structure in d-algebras is established.

The notions of a falling d-subalgebra, a falling d-ideal, a falling BCK-ideal, and a falling d♯-ideal of a d-algebra are introduced.

Some fundamental properties are investigated.

Relations among a falling d-subalgebra, a falling d-ideal, a falling BCK-ideal, and a falling d♯-ideal are stated.

Characterizations of falling d-ideals and falling d♯-ideals are discussed.

A relation between a fuzzy d-subalgebra and a falling d-subalgebra is provided.