Preferred Language
Articles
/
ijs-6836
Triple Γ-Homomorphisms and Bi - Γ -Derivations on Jordan Γ-algebra
...Show More Authors

In this paper, we introduce the concept of Jordan  –algebra, special Jordan  –algebra and triple  –homomorphisms. We also introduce Bi -  –derivations and Annihilator of Jordan algebra. Finally, we study the triple  –homomorphisms and Bi -  –derivations on Jordan algebra.

Scopus Crossref
View Publication
Publication Date
Sat Dec 30 2023
Journal Name
Iraqi Journal Of Science
Lie and Jordan Structure in Prime Γ- rings with Γ-centralizing Derivations
...Show More Authors

Let M be a prime Γ-ring satisfying abc  abc for all a,b,cM and
,  with center Z, and U be a Lie (Jordan) ideal. A mapping d :M M
is called Γ- centralizing if u d u Z  [ , ( )] for all uU and  .In this paper
, we studied Lie and Jordan ideal in a prime Γ - ring M together with Γ -
centralizing derivations on U.

View Publication Preview PDF
Publication Date
Thu Jul 01 2021
Journal Name
Journal Of Physics: Conference Series
Generalized Γ-n-Derivations on Prime Γ-Near-Rings
...Show More Authors
Abstract<p>The main purpose of this paper is to define generalized Γ-n-derivation, study and investigate some results of generalized Γ-n-derivation on prime Γ-near-ring G and <italic>K</italic> be a nonzero semi-group ideal of <italic>G</italic> which force G to be a commutative ring.</p>
View Publication
Scopus (1)
Scopus Crossref
Publication Date
Wed Nov 30 2022
Journal Name
Iraqi Journal Of Science
Jordan generalized Γ- (σ,τ) -Derivation on Prime Γ-Near Rings
...Show More Authors

      In this paper, we introduce the notion of Jordan generalized Derivation on prime and then some related concepts are discussed. We also verify that every Jordan generalized Derivation is generalized Derivation when  is a 2-torsionfree prime .

View Publication Preview PDF
Scopus Crossref
Publication Date
Fri Jan 01 2021
Journal Name
Advances In Intelligent Systems And Computing
Γ-n-Derivations on Semigroup Ideals on Prime Γ-Near-Rings
...Show More Authors

View Publication
Scopus Crossref
Publication Date
Fri May 01 2020
Journal Name
Journal Of Physics: Conference Series
Semi-group Ideals on prime and semiprime Γ-Near - Rings with Γ- (λ,δ) – derivations
...Show More Authors
Abstract<p>Let h is Γ<sub>−(λ,δ) –</sub> derivation on prime Γ<sub>−</sub>near-ring G and K be a nonzero semi-group ideal of G and δ(K) = K, then the purpose of this paper is to prove the following :- (a) If λ is onto on G, λ(K) = K, λ(0) = 0 and h acts like Γ<sub>−</sub>hom. or acts like anti–Γ<sub>−</sub>hom. on K, then h(K) = {0}.(b) If h + h is an additive on K, then (G, +) is abelian.</p>
View Publication
Scopus (1)
Scopus Crossref
Publication Date
Wed Nov 30 2022
Journal Name
Iraqi Journal Of Science
γ– algebra of Sets and Some of its Properties
...Show More Authors

    The main objective of this work is to generalize the concept of  fuzzy algebra by introducing the notion of  fuzzy algebra. Characterization and examples of the proposed generalization are presented, as well as several different properties of  fuzzy algebra are proven. Furthermore, the relationship between fuzzy algebra and fuzzy algebra is studied, where it is shown that the fuzzy algebra is a generalization of fuzzy algebra too. In addition, the notion of restriction, as an important property in the study of measure theory, is studied as well. Many properties of restriction of a nonempty family of fuzzy subsets of fuzzy power set are investigated and it is shown that the restriction of fuzzy algebra is fuzzy algebra too.

View Publication Preview PDF
Scopus (3)
Scopus Crossref
Publication Date
Sun Jan 01 2023
Journal Name
Journal Of Interdisciplinary Mathematics
On maps of Γ -period 2 on prime Γ- near-rings
...Show More Authors

We present the concept of maps Γ- periodi2 on Γ -near-ring S. Our main goal is to research and explore the presence and mapping traits such as h Γ –hom anti-Γ –hom, Γ –α-derivations of Γ -periodi2 on Γ- near-rings.

View Publication
Scopus Clarivate Crossref
Publication Date
Sun Mar 06 2016
Journal Name
Baghdad Science Journal
On (σ,τ)-Derivations and Commutativity of Prime and Semi prime Γ-rings
...Show More Authors

Let R be a Г-ring, and σ, τ be two automorphisms of R. An additive mapping d from a Γ-ring R into itself is called a (σ,τ)-derivation on R if d(aαb) = d(a)α σ(b) + τ(a)αd(b), holds for all a,b ∈R and α∈Γ. d is called strong commutativity preserving (SCP) on R if [d(a), d(b)]α = [a,b]α(σ,τ) holds for all a,b∈R and α∈Γ. In this paper, we investigate the commutativity of R by the strong commutativity preserving (σ,τ)-derivation d satisfied some properties, when R is prime and semi prime Г-ring.

View Publication Preview PDF
Crossref
Publication Date
Wed Mar 30 2022
Journal Name
Iraqi Journal Of Science
ON A TOPOLOGICAL Γ - RINGS
...Show More Authors

In this work we present the concepts of topological Γ-ring, norm of topological Γ-ring, homomorphism, kernel of topological Γ-ring and compact topological Γ-ring

View Publication Preview PDF
Scopus Crossref
Publication Date
Wed Oct 28 2020
Journal Name
Iraqi Journal Of Science
Jordan Triple Higher (σ,τ)-Homomorphisms on Prime Rings
...Show More Authors

In this paper, the concept of Jordan triple higher -homomorphisms on prime

rings is introduced.  A result of Herstein is extended on this concept from the ring  into the prime ring .  We prove that every Jordan triple higher -homomorphism of ring  into prime ring  is either triple higher -homomorphism  or triple higher -anti-homomorphism of  into .

View Publication Preview PDF
Scopus (4)
Crossref (1)
Scopus Crossref