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Orthogonality of generalized G-m-derivations in semi-prime G-nearrings
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We introduced the nomenclature of orthogonal G -m-derivations and orthogonal generalized G -m-derivations in semi-prime G -near-rings and provide a few essentials and enough provision for generalized G -n-derivations in semi-prime G -near-rings by orthogonal.

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Publication Date
Sun Mar 06 2016
Journal Name
Baghdad Science Journal
On (σ,τ)-Derivations and Commutativity of Prime and Semi prime Γ-rings
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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.

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Publication Date
Tue Sep 01 2020
Journal Name
Baghdad Science Journal
Some Game via Ἷ-Semi-g-Separation Axioms
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The research demonstrates new species of the games by applying separation axioms via  sets, where the relationships between the various species that were specified and the strategy of winning and losing to any one of the players, and their relationship with the concepts of separation axioms via  sets have been studied.

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Publication Date
Thu Jul 01 2021
Journal Name
Journal Of Physics: Conference Series
Generalized Γ-n-Derivations on Prime Γ-Near-Rings
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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>
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Publication Date
Tue Oct 20 2020
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
New Games via soft-I-Semi-g-Separation axioms
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In this article, the notions  are introduced by using soft ideal and soft semi-open sets, which are - - - -closed sets " -closed" where many of the properties of these sets are clarified. Some games by using soft- -semi, soft separation axioms: like ( 0   ( 0  Using many figures and proposition to study the relationships among these kinds of games with some examples are explained.

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Publication Date
Fri Jan 01 2021
Journal Name
Int. J. Nonlinear Anal. Appl.
Rough continuity and rough separation axioms in G<inf>m</inf>-closure approximation spaces
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The theory of general topology view for continuous mappings is general version and is applied for topological graph theory. Separation axioms can be regard as tools for distinguishing objects in information systems. Rough theory is one of map the topology to uncertainty. The aim of this work is to presented graph, continuity, separation properties and rough set to put a new approaches for uncertainty. For the introduce of various levels of approximations, we introduce several levels of continuity and separation axioms on graphs in Gm-closure approximation spaces.

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Publication Date
Sun Dec 05 2010
Journal Name
Baghdad Science Journal
Immunoglobulins assessment (IgE,G,A,M) in some Iraqi patients with acute and chronic urticaria
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60 patients diagnosed as having urticaria were included in the study ; 30 patients were effected with acute urticaria and 30 patients were affected with chronic urticaria. In addition, 30 healthy adult volunteers were selected as control group .The patients and control groups sera were examined with enzyme linked immunosorbent assay ( ELISA) to detect total level IgE and radial immunodiffusion (RID) to detect levels of IgG , IgA and IgM . The total level of IgE in acute urticaria ( 1.45±0.13) IU/mL and chronic urticaria (2.12 ± 0.10) IU/mL patients were significantly higher than the control groups ( 0.85 ± 0.10)IU/mL (p<0.05). The level of IgG in acute urticaria ( 12.5± 0.42) g/L and chronic (13.16±0.40) g/L patients , IgA in acute (2.

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Publication Date
Sun May 22 2005
Journal Name
University Of Technology
Results Of The Factor Group CF(G,Z)/R(G)
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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
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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>
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Publication Date
Sun Sep 04 2011
Journal Name
Baghdad Science Journal
Jordan left (?,?) -derivations Of ?-prime rings
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It was known that every left (?,?) -derivation is a Jordan left (?,?) – derivation on ?-prime rings but the converse need not be true. In this paper we give conditions to the converse to be true.

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Publication Date
Wed Mar 10 2021
Journal Name
Baghdad Science Journal
ON G-OPEN SET
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A new class of generalized open sets in a topological space, called G-open sets, is introduced and studied. This class contains all semi-open, preopen, b-open and semi-preopen sets. It is proved that the topology generated by G-open sets contains the topology generated by preopen,b-open and semi-preopen sets respectively.

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