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ijs-6098
Jordan Permuting 3-Derivations of Prime Rings
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The main purpose of this work is to generalize Daif's result by introduceing the concept of Jordan (α β permuting 3-derivation on Lie ideal and generalize these result by introducing the concept of generalized Jordan (α β permuting 3-derivation 

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Publication Date
Tue Nov 30 2021
Journal Name
Iraqi Journal Of Science
(α, β) – Derivations on Prime Inverse Semirings
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Let S be a prime inverse semiring with center Z(S). The aim of this research is to prove some results on the prime inverse semiring with (α, β) – derivation that acts as a homomorphism or as an anti- homomorphism, where α, β are automorphisms on S.

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Publication Date
Thu Dec 29 2016
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
(,)- Strongly Derivations Pairs on Rings
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        Let R be an associative ring. In this paper we present the definition of (s,t)- Strongly derivation pair and Jordan (s,t)- strongly derivation pair on a ring R, and study the relation between them. Also, we study prime rings, semiprime rings, and rings that have commutator left nonzero divisior with (s,t)- strongly derivation pair, to obtain a (s,t)- derivation. Where s,t: R®R are two mappings of R.

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Publication Date
Sun Jul 02 2023
Journal Name
Iraqi Journal Of Science
Nilpotency of Centralizers in Prime Rings
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Nilpotency of Centralizers in Prime Rings

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Publication Date
Sat Dec 30 2023
Journal Name
Iraqi Journal Of Science
Derivable Maps of Prime Rings
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Our active aim in this paper is to prove the following Let Ŕ be a ring having an
idempotent element e(e  0,e 1) . Suppose that R is a subring of Ŕ which
satisfies:
(i) eR  R and Re  R .
(ii) xR  0 implies x  0 .
(iii ) eRx  0 implies x  0( and hence Rx  0 implies x  0) .
(iv) exeR(1 e)  0 implies exe  0 .
If D is a derivable map of R satisfying D(R )  R ;i, j 1,2. ij ij Then D is
additive. This extend Daif's result to the case R need not contain any non-zero
idempotent element.

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Publication Date
Sat Jul 31 2021
Journal Name
Iraqi Journal Of Science
Near – Rings with Generalized Right n-Derivations
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We define a new concept, called " generalized right  -derivation", in near-ring and obtain new essential results in this field. Moreover we improve this paper with examples that show that the assumptions used are necessary.

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Publication Date
Sat Oct 28 2023
Journal Name
Baghdad Science Journal
Generalized Left Derivations with Identities on Near-Rings
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In this paper, new concepts which are called: left derivations and generalized left derivations in nearrings have been defined. Furthermore, the commutativity of the 3-prime near-ring which involves some
algebraic identities on generalized left derivation has been studied.

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Publication Date
Sun May 26 2019
Journal Name
Iraqi Journal Of Science
Some Results of (α, β) Derivations on Prime Semirings
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      This paper investigates the concept (α, β) derivation on semiring and extend a few results of this map on prime semiring. We establish the commutativity of prime semiring and investigate when (α, β) derivation becomes zero.

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Crossref (2)
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Publication Date
Wed Aug 31 2022
Journal Name
Iraqi Journal Of Science
Generalized Commuting Mapping in Prime and Semiprime Rings
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     Let R be an associative ring. The essential purpose of the present paper is to introduce the concept of generalized commuting mapping of R. Let U be a non-empty subset of R, a mapping   : R  R is called a generalized commuting mapping on U if there exist a mapping :R R such that =0, holds for all U. Some results concerning the new concept are presented.

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Publication Date
Fri Jun 30 2023
Journal Name
Iraqi Journal Of Science
Triple Γ-Homomorphisms and Bi - Γ -Derivations on Jordan Γ-algebra
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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.

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Publication Date
Mon Jan 10 2022
Journal Name
Iraqi Journal Of Science
Centralizers on Prime and Semiprime Γ-rings
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In this paper, we will generalized some results related to centralizer concept on
prime and semiprime Γ-rings of characteristic different from 2 .These results
relating to some results concerning left centralizer on Γ-rings.

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