On derivations of prime and semi-prime Gamma rings

Ardakani, Leili Kamali; Davvaz, Bijan; Huang, Shuliang

doi:10.5269/bspm.v37i2.31658

Cited by 3 publications

(1 citation statement)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Ali examined some properties of generalized RSs as well as some properties of generalized upper and lower approximations [20]. B.Davvaz studied the new rough algebraic structural results [21][22][23][24][25]. The following are some rough algebraic structures described by mathematicians.…”

Section: Introductionmentioning

confidence: 99%

Characterizations of Γ Rings in Terms of Rough Fuzzy Ideals

Pushpanathan¹,

Ezhilmaran²

2022

Symmetry

View full text Add to dashboard Cite

Fuzzy sets are a major simplification and wing of classical sets. The extended concept of set theory is rough set (RS) theory. It is a formalistic theory based upon a foundational study of the logical features of the fundamental system. The RS theory provides a new mathematical method for insufficient understanding. It enables the creation of sets of verdict rules from data in a presentable manner. An RS boundary area can be created using the algebraic operators’ union and intersection, which is known as an approximation. In terms of data uncertainty, fuzzy set theory and RS theory are both applicable. In general, as a uniting theme that unites diverse areas of modern arithmetic, symmetry is immensely important and helpful. The goal of this article is to present the notion of rough fuzzy ideals (RFI) in the gamma ring structure.We introduce the basic concept of RFI, and the theorems are proven for their characteristic function. After that, weexplain the operations on RFI, and related theorems are given. Additionally, we prove some theorems on rough fuzzy prime ideals. Furthermore, using the concept of rough gamma endomorphism, we propose some theorems on the morphism properties of RFI in the gamma ring.

show abstract

Section: Introductionmentioning

confidence: 99%

Characterizations of Γ Rings in Terms of Rough Fuzzy Ideals

Pushpanathan¹,

Ezhilmaran²

2022

Symmetry

View full text Add to dashboard Cite

show abstract

Discussion on rough fuzzy ideals in Γ-rings and its related properties

Durgadevi¹,

Ezhilmaran²

2022

International Conference on Recent Trends in Pure and Applied Mathematics (Icrtpam-2021)

View full text Add to dashboard Cite

The Source of $\Gamma$-Primeness on $\Gamma$-Rings

YEŞİL,

MEKERA

2024

Mathematical Sciences and Applications E-Notes

View full text Add to dashboard Cite

The source of the primeness texture is a skeleton that generalizes traditional prime rings. In this context, our primary aim in this study is to describe the source of $\Gamma$-primeness in $\Gamma$-rings not included in the literature. This work's purpose is to generalize the concept of the source of primeness to a $\Gamma$-ring. In this study, the characteristics provided by the defined concept are also discussed, and the results achieved are exemplified.

show abstract

On derivations of prime and semi-prime Gamma rings

Abstract: The concept of Γ-ring is a generalization of ring. Two important classes of Γ-rings are prime and semi-prime Γ-rings. In this paper, we consider the concept of derivations on prime and semi-prime Γ-rings and we study some of their properties.

Cited by 3 publications

References 10 publications

Characterizations of Γ Rings in Terms of Rough Fuzzy Ideals

Characterizations of Γ Rings in Terms of Rough Fuzzy Ideals

Discussion on rough fuzzy ideals in Γ-rings and its related properties

The Source of $\Gamma$-Primeness on $\Gamma$-Rings

Contact Info

Product

Resources

About