Javascript must be enabled to continue!

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.

Back

Here in this paper, we provide characterizations of fuzzy quasi-ideal in terms of level and strong level subsets. Along with it, we provide expression for the generated fuzzy quasi...

S-Ideals: A Unified Framework for Ideal Structures via Multiplicatively Closed Subsets

In this paper, we study ideals defined with respect to arbitrary multiplicatively closed subsets S⊆R of a commutative ring R. An ideal I⊆R is called an S-ideal if for all a,b∈R, th...

Regular elements and the BQ - Property of transformation semigroups and rings of linear transformations

An element x of a semigroup [ring] A is said to regular if there is an element y of A such that x = xyx, and A is called a regular semigroup [(Von Neumann) regular ring] if every e...

Skew compact semigroups

<p>Skew compact spaces are the best behaving generalization of compact Hausdorff spaces to non-Hausdorff spaces. They are those (X ; τ ) such that there is another topology τ...

A Semigroup Is Finite Iff It Is Chain-Finite and Antichain-Finite

A subset A of a semigroup S is called a chain (antichain) if ab∈{a,b} (ab∉{a,b}) for any (distinct) elements a,b∈A. A semigroup S is called periodic if for every element x∈S there ...

Traces, ideals, and arithmetic means

This article grew out of recent work of Dykema, Figiel, Weiss, and Wodzicki (Commutator structure of operator ideals) which inter alia characterizes commuta...

Applications of Fuzzy Semiprimary Ideals under Group Action

Group actions are a valuable tool for investigating the symmetry and automorphism features of rings. The concept of fuzzy ideals in rings has been expanded with the introduction of...

Fuzzy Bipolar Soft Quasi-ideals in Ordered Semigroups

In this paper, we introduce the concept of fuzzy bipolar soft quasi-ideals in ordered semigroup theory. First some characteristics of the structure are examined and hence a few use...

Email:
Password:

Email:

Cubic Of Positive Implicative Ideals In KU- Semigroup

Related Results