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Cubic Of Positive Implicative Ideals In KU- Semigroup

In this paper, we define a cubic positive implicative-ideal, a cubic implicative-ideal and a cubic commutative-ideal of a semigroup in KU-algebra as a generalization of a fuzzy (positive implicative-ideal, an implicative-ideal and a commutative-ideal) of a semigroup in KU-algebra. Some relations between these types of cubic ideals are discussed. Also, some important properties of these ideals are studied. Finally, some important theories are discussed. It is proved that every cubic commutative-ideal, cubic positive implicative-ideal, and cubic implicative-ideal are a cubic ideal, but not conversely. Also, we show that if Θ is a cubic positive implicative-ideal and a cubic commutative-ideal then Θ is a cubic implicative-ideal. Some examples of the opposite direction of the previous theories are obtained.

College of Education for Pure Science (Ibn Al-Haitham)

Fatema. F. Kareem Samy M. Mostafa Omniat. A. Hasan

Ibn AL-Haitham Journal For Pure and Applied Sciences

2024

Title: Cubic Of Positive Implicative Ideals In KU- Semigroup

Description:

Some relations between these types of cubic ideals are discussed.

Also, some important properties of these ideals are studied.

Finally, some important theories are discussed.

It is proved that every cubic commutative-ideal, cubic positive implicative-ideal, and cubic implicative-ideal are a cubic ideal, but not conversely.

Also, we show that if Θ is a cubic positive implicative-ideal and a cubic commutative-ideal then Θ is a cubic implicative-ideal.

Some examples of the opposite direction of the previous theories are obtained.

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Cubic Of Positive Implicative Ideals In KU- Semigroup

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