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

الملخص EN

On the basis of the theory of a falling shadow which was first formulated by Wang (1985), the notion of falling d∗-ideals in d-algebras is introduced, and related properties are investigated.

Characterizations of a falling d∗-ideal are established.

Relations among falling d∗-ideals, falling d-ideals, falling d#-ideals, falling d-subalgebras, and falling BCK-ideals are discussed.