Abdulrahman H Majeed

• PhD
• Head of Department at College of science,Baghdad university

The main purpose of this paper, is to characterize new admissible classes of linear operator in terms of seven-parameter Mittag-Leffler function, and discuss sufficient conditions in order to achieve certain third-order differential subordination and superordination results. In addition, some linked sandwich theorems involving these classes had bee...

The purpose of this paper is to discuss the centralizers and the double centralizers in prime and semiprime rings with fulfilling certain identities.

Let M be a semiprime 2-torsion free inverse semiring, and let α be an endomorphism of M. Under some conditions, we prove a Jordan α-centralizer of M is a α-centralizer of M, also we prove if R: M→ M be an additive mapping such that R(r3) + α(r)R(r)α(r)' = 0 holds for all r ∈ M, where R is a centralizer, and α is a surjective endomorphism of M.

This paper dedicated to introduce new class of operator concurring normalized seven-parameter Mittag-Leffler function of single complex variable and first-order subordination relation. Our new operator defined using the convolution technique for functions belong to the class A(p). In addition, we apply first-order order differential subordination p...

In this paper, a new seven-parameter Mittag-Leffler function of a single complex variable is proposed as a generalization of the standard Mittag-Leffler function, certain generalizations of Mittag-Leffler function, hypergeometric function and confluent hypergeometric function. Certain essential analytic properties are mainly discussed, such as radi...

In this paper the notion of asymmetric skew 4-derivation of prime and semiprime Γ-ring is presented and studied. Therefore we proved that; presume Ň be a 3,2-torsion free non commutative prime Γ-rings accomplishing a certain assumption and L be admissible Lie ideal of Ň; Let : Ň4→Ň is a symmetric 4-derivation. If f is a trace of such that [f(s),s]σ...

This paper constructs a new linear operator associated with a seven parameters Mittag-Leffler function using the convolution technique. In addition, it investigates some significant second-order differential subordination properties with considerable sandwich results concerning that operator.

This work is devoted to define new generalized gamma and beta functions involving the recently suggested seven-parameter Mittag-Leffler function, followed by a review of all related special cases. In addition, necessary investigations are affirmed for the new generalized beta function, including, Mellin transform, differential formulas, integral re...

In this study, we prove that let N be a fixed positive integer and R be a semiprime -ring with extended centroid . Suppose that additive maps such that is onto, satisfy one of the following conditions belong to Г-N- generalized strong commutativity preserving for short; (Γ-N-GSCP) on R belong to Г-N-anti-generalized strong commutativity preserving...

Let S be a prime inverse semiring with Z(S). The purpose of this paper is to study an action of a (α, β) - derivation and a left (α, β) – derivation on ideals in S. We have proved results that show that the existence of a derivation satisfying some relations means that the ring or the derivation is very special.

Let 𝒥 be a nonzero ideal of a prime ring ℛ and 𝜂, 𝜁 be any two mappings on ℛ. A map 𝒟: ℛ → ℛ is called a multiplicative (generalized) (𝜂, 𝜁) reverse derivation if 𝒟(𝓍𝓎)=𝒟(𝓎)𝜂(𝓍)+𝜁(𝓎)𝒹(𝓍) for all 𝓍, 𝓎 ∈ ℛ where 𝒹: ℛ → ℛ is any map. Let 𝒟 and ℋ be two multi-plicative (generalized) (𝜂, 𝜁) reverse derivation associated with the mapping 𝒹 and 𝒽, respect...

This research provides a conceptual framework and examples for applying Bayesian techniques to binary and vector data. For the binary data, for observations take on one of two possible values, Bayesian logistic regression and Bayesian networks are techniques, applicable Bayesian logistic regression places priors on the coefficients and derives the...

The concept of inverse Γ-semiring M is a generalization of inverse semiring. This paper investigates the concept (σ, τ)- derivation on inverse Γ-semiring and extend a few results of this map on prime inverse Γ- semiring that acts as a homomorphism or as an anti- homomorphism, where σ, τ are automorphisms on M.

We introduce a new generalization of Cayley graphs. Moreover, we establish some basic properties of this new type of graph and we determine its structure under some assumptions.

Suppose that is a finite group and is a non-empty subset of such that and . Suppose that is the Cayley graph whose vertices are all elements of and two vertices and are adjacent if and only if . In this paper, we introduce the generalized Cayley graph denoted by that is a graph with vertex set consists of all column matrices which all components ar...

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.

In this research work, some low complexity and efficient cryptanalysis approaches are proposed to decrypt password (encryption keys). Passwords are still one of the most common means of securing computer systems. Most organizations rely on password authentication systems, and therefore, it is very important for them to enforce their users to have s...

Let R be a 2-torsion free prime ring, U non-zero square closed Lie ideal of R, α be anti-automorphism of R and β be automorphism of R. A mapping F: R → R is called a multiplicative (generalized) (α, β) reverse derivation if F(xy) = F(y)α (x) + β (y)d(x) for all x, y ∈R where d: R→ R is any map (not necessarily additive). The purpose of this paper i...

In this paper, we discuss the upper bounds for the second Hankel determinant H 2 (2) of a new subclass of λ-pseudo-starlike bi-univalent functions defined in the open unit disk U .

Let be a prime ring, be a non-zero ideal of and be automorphism on. A mapping is called a multiplicative (generalized) reverse derivation if where is any map (not necessarily additive). In this paper, we proved the commutativity of a prime ring R admitting a multiplicative (generalized) reverse derivation satisfying any one of the properties: for a...

In this paper, we prove that; Let M be a 2-torsion free semiprime which satisfies the condition for all and α, β . Consider that as an additive mapping such that holds for all and α , then T is a left and right centralizer.

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 K be a nonzero semi-group ideal of G which force G to be a commutative ring.

The main aim of this paper is to define the Γ-n-derivation, study and investigate some results of ΓΓ-n-derivation on prime Γ-near-ring G and K are the non-zero ideal G-semigroup, which makes G a commutative ring. The concept of Γ-diverse authors has generalized derivations in various ways. The concept of Γ-n-derivation, permuting derivation, and ri...

The purpose of the present paper is to introduce and investigate two new subclasses 𝒦𝛴𝑚(𝜆,𝛾;𝛼) and 𝒦∗𝛴𝑚(𝜆,𝛾;𝛽) of 𝛴𝑚 consisting of analytic and 𝑚-fold symmetric bi-univalent functions defined in the open unit disk 𝑈. We obtain upper bounds for the coefficients |𝑎𝑚+1| and |𝑎𝑚| for functions belonging to these subclasses. Many of the well-known and n...

in this paper we introduce generalized (α, β) derivation on semirings and extend some results of Oznur Golbasi on prime semiring. Also, we present some results of commutativity of prime semiring with these derivation.

In this paper, we introduce the notion of k-derivation, generalized k-derivation and k- reverse derivation on gamma semirings. And give some commutativity conditions on γ-prime and γ-semiprime gamma semirings. Also, we give orthogonality for pairs of k- reverse derivations on gamma semirings.

Let h is �-(�,δ) – derivationon prime �-ringnear-G and K be a nonzerosemi-group ideal of G and δ(K) =K , then the purpose of this paper is to prove the following :- (a) If� is onto on G, �(K) =K , �(0)= 0 and h acts like �- .hom or acts like anti –�-hom. on K, then h(K) = {0}. (b) If h + h is an additive on K , then (G, +) is abelian.

Let M be a weak Nobusawa Γ-ring and γ be a non-zero element of Γ. In this paper, we study the definition of γ-semiprime Γ-ring, and introduce definition of γ-semisimple Γ-ring and γ-Jordan ideal of M . We give equivalent definitions for γ-prime Γ-ring and γ-semiprime Γ-ring. Also by using relation between Γ-rings and rings, we give some commutattiv...

In this paper, we introduce definitions of γ-orthogonality for two pairs of k- derivations, generalized k- derivations, and k- reverse derivations. Also we present some results concerning with these notions on γ-semiprime gamma ring.

In this paper, we introduce the concept of orthogonal generalized derivations on Γ-semirings and prove some results on semiprimeΓ-semirings.

The main purpose of this paper is to investigate some results. When h is  -( ,δ) – Derivation on prime Γ-near-ring G and K is a nonzero semi-group ideal of G, then G is commutative .

This paper develops the work of Mary Florence et. al. on centralizer of semiprime Semirings and presents reverse centralizer of Semirings with several propositions and lemmas. Also, introduces the notion of dependent element and free actions on Semirings with some results of free action of centralizer and reverse centralizer on semiprime Semirings...

In this study, we find Markov basis and toric ideals for (25n3-66n2+41n)×3×n contingency tables with fixed two dimensional marginals.

New strong differential subordination and superordination results are obtained for meromorphic multivalent quasi-convex functions in the punctured unit disk by investigating appropriate classes of admissible functions. Strong differential sandwich results are also obtained.

Human skin detection, which usually performed before image processing, is the method of discovering skin-colored pixels and regions that may be of human faces or limbs in videos or photos. Many computer vision approaches have been developed for skin detection. A skin detector usually transforms a given pixel into a suitable color space and then use...

In this paper we recall the definition of centralizer on inverse semiring. Also introduce the definition of Jordan ideal and Lie ideal. Some results of M.A.Joso Vukman on centralizers on semiprime rings are generalized here to inverse semirings.

In this paper we introduce the definition of Lie ideal on inverse semiring and we generalize some results of Herstein about Lie structure of an associative rings to inverse semirings.

In this paper, we introduce the concept of generalized strong commutativity (Cocommutativity) preserving right centralizers on a subset of a Γ-ring and we generalize some results of a classical ring to a gamma ring.

Let S be an inverse semiring, and U be an ideal of S. In this paper, we introduce the concept of U-S Jordan homomorphism of inverse semirings, and extend the result of Herstein on Jordan homomorphisms in inverse semirings.

In this paper, we will find some subgroups H_1 and H_2 of symmetric group S_3n, n∈N and n≥2, such that the Markov basis B is H invariant for (25n ^ 3-66n ^ 2+41n) ×3×n - contingency tables with fixed two dimensional marginal, where B is the Markov basis. We will get another 3×n - contingency tables have same the Markov basis B by using the action o...

Let M be a weak Nobusawa Γ-ring and γ be a non-zero element of Γ. In this paper, we introduce concept of k-reverse derivation, Jordan k-reverse derivation, generalized k-reverse derivation, and Jordan generalized k-reverse derivation of Γ-ring, and γ-homomorphism, anti-γ-homomorphism of M. Also, we give some commutattivity conditions on γ-prime Γ-r...

In this paper, The Grobner basis of the Toric Ideal for - contingency tables related with the Markov basis B introduced by Hussein S. MH, Abdulrahman H. M in 2018 is found. Also, the Grobner basis is a reduced and universal Grobner basis are shown.

By making use of fractional integral, we study fuzzy subordination methods to obtain some interesting results of operator defined by generalized Mittag-Leffler function in the open unit disk.

This paper investigates the concept (α, β) derivation on semirings 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.

This paper investigates the concept (α, β) derivation on semiring and extend a few results of this map on prime semiring. Also we establish the commutativity of prime semiring and investigate when (α, β) derivation becomes zero.

In the present investigation, we use the Chebyshev polynomial expansions to derive estimates on the initial coe¢ cients for a new subclass of analytic and bi-univalent functions with respect to symmetric conjugate points. Also, we solve Fekete-Szego problem for functions in this class.

Let M be a semiprime Gamma-ring with involution. In this paper, it will be shown that if an additive mapping d on M is a Gamma*-derivation, then d maps all elements of M into the center of M. Furthermore, if d(x) coincides with the commutator of x and some a ∈ M with respect to alpha for all x ∈ M and alpha ∈ Gamma, then d is a zero Gamma*-derivati...

In this paper, by making use of fuzzy differential subordination results of G. I. Oros and Gh. Oros [5,6], we study certain suitable classes of admissible functions and investigate properties of analytic functions in the open unit disk involving generalized differential operator.

By making use of the principle of subordination, we introduce a new class for higher-order derivatives of multivalent analytic functions associated with Dziok-Srivastava operator. Also we obtain some results for this class.

This article showed a study of restricting the gap between the error terms of Ω-results for (í µí± ᶷ − í µí¼í µí±¥) and the error terms of O-results for (í µí± − í µí¼í µí±¥) on Riemann Hypothesis. Note that the Ω-results is a generalized Ω-results for í µí± í µí± as counting function of Beurling. Her a generalized prime system í µí²« is a se...

The purpose of the present paper is to introduce and investigate two new subclasses SS_(Σ_m)^* (λ,γ;α) and S_(Σ_m)^* (λ,γ;β) of Σ_m consisting of analytic and m-fold symmetric bi-univalent functions defined in the open unit disk U. We obtain upper bounds for the coefficients |a_(m+1) | and |a_(2m+1) | for functions belonging to these subclasses. Ma...

In this present paper, we obtain some applications of first order differential subordination and superordination results involving Hadamard product for multivalent analytic functions with generalized hypergeometric function in the open unit disk. These results are applied to obtain sandwich results. Many of the well-known and new results are shown...

Our object in this paper is to study a generalization of B. Zalar’s result [in Commentat. Math. Univ. Carol. 32, No. 4, 609-614 (1991; Zbl 0746.16011)] on Jordan centralizers of semiprime rings by proving the following result: Let R be a prime ring of characteristic different from 2, and U be a Jordan ideal of R. If T is an additive mapping from R...

In the present paper, we obtain some fuzzy subordination results of prestarlike analytic functions of order α+iβ in the open unit disk. Also, we give some applications in fractional calculus.

In the present paper, we introduce and study a new class of higher-order derivatives multivalent analytic functions in the open unit disk and closed unit disk of the complex plane by using linear operator. Also we obtain some interesting properties of this class and discuss several strong differential subordinations for higher-order derivatives of...

In this paper, we introduce and study a class of multivalent analytic functions which are defined by means of a linear operator. We obtain some results connected to inclusion relationship, argument estimate, integral representation and subordination property.

The concept of strong differential subordinations was introduced in [1], [2] by Antonio and Romaguera and developed in [6,8]. The dual concept of strong differential superordination was introduced in [4] and developed in [5,7]. In this paper, we introduce two new classes of symmetric analytic functions defined by strong differential subordination a...

In this paper we show the nilpotency of nilpotent derivation of simeprime Γ-ring with characteristic 2 must be a power of 2 and we show the nilpotency of a nilpotent derivation of simeprime Γ-ring is either odd or a power of 2 without torsion condition.

Let M be a 2-torsion free semiprime Γ-ring with involution satisfying the condition that abc a b c αβ β α = ( abc M ∈ ,, and ∈Γ αβ , ). In this paper, we will prove that if a non-zero Jordan Γ * -derivation d on M satisfies ( ) ( )  dx x Z M ∈ α , for all xM ∈ and ∈Γ α , then ( )  dx x = α ,0 .

Let M be a semiprime Λ-ring with involution satisfying the condition that aαbβc = aαbβc (a, b, c ε M and α, β ε Λ). The purpose of this paper is to prove the following: if an additive mapping T : M → M on a 2-torsion free semiprime Λ-ring with involution satisfies 2T(xαx) = T(x)αx∗ +x∗αT(x) for all x 2 M and α ε Λ, then T is a reverse Λ∗-centralize...

Let M be a semiprime Γ-ring with involution satisfying the condition that aαbβc = aβbαc (a, b, c ∈ M and α, β ∈ Γ). An additive mapping d : M → M is called Γ∗-derivation if d(xαy) = d(x)αy∗ + xαd(y). In this paper we will prove that if d is Γ∗-derivation of a semiprime Γ-ring with involution which is either an endomorphism or anti-endomorphism, the...

Palestine Journal of Mathemtics Vol. 3 (Spec. 1)(2014), pp. 406-421 ISSN 2219-5688 http://pjm.ppu.edu/?page=volumes&vol=3_3 ABSTRACT: In this paper we extend to the higher homomorphism a well known result proved by Herstein concerning homomorphism in prime rings. We prove results which imply that every Jordan triple higher homomorphism (resp. gene...

The aim of this paper is to introduce and study the concepts of -compact space, -compact subspace and countably -compact space via -open sets like wise to investigate their relationships to other well known types of compactness.

The main purpose of this work is to introduce the concept of higher N-derivation and study this concept into 2-torsion free prime ring we proved that:Let R be a prime ring of char. 2, U be a Jordan ideal of R and be a higher N-derivation of R, then , for all u U , r R , n N .

In this paper , we have studied a certain subclass of univalent functions defined by linear operator by using differential subordination property.We

In this paper we introduce and study the concept of Ss-open sets .also, a study new class of functions called Ss-continuous functions, the relationships between Ss-continuity and other types of continuity are investigated.Keywords: Ss-open set, Ss-continuous function, semi-open set, semi-continuous functions.

Let M be a 2- and 3-torsion free prime Γ-ring, d a nonzero derivation on M and U a nonzero Lie ideal of M. In this paper it is proved that U is a central Lie ideal of M if d satisfies one of the following: (i) d(U)⊂Z, (ii) d(U)⊂U and d 2 (U)=0, (iii) d(U)⊂U, d 2 (U)⊂Z.

In this paper, we generalized some results concerning orthogonal derivations for a nonzero ideal of a semiprime Γ-ring. These results which are related to some results concerning product derivations on a Γ-rings. Mathematics Subject Classification: 16W25, 16Y30

The purpose of this paper is to prove the following result: Let R be a 2-torsion free ring and T: R?R an additive mapping such that T is left (right) Jordan ?-centralizers on R. Then T is a left (right) ?-centralizer of R, if one of the following conditions hold (i) R is a semiprime ring has a commutator which is not a zero divisor . (ii) R is a no...

JP Journal of Algebra, Number Theory and Applications Volume 16, Number 2, 2010, Pages 119-142 ABSTRACT:Let R be a ring not necessarily with an identity element. A well-known result proved by I. N. Herstein concerning derivations in prime rings have been extensively studied by many authors. Also, M. Ferrero and C. Haetinger extended this result t...

In this paper, centrally prime and centrally semiprime rings are defined and the relations between these two rings and prime (resp. semiprime) rings are studied.Among the results of the paper some conditions are given under which prime (resp. semiprime) rings become centrally prime (resp.centrally semiprime) as in:1-A nonzero prime (resp. semiprime...

In this paper we study some effects of θ φ),( − derivations on centrally prime rings, and we try to extend some results on prime rings which are concerned with θ φ),( − derivations to centrally prime rings and also we determine those conditions under which these extensions are allowed.

Let R be a semiprime ring and k be an arbitrary positive integer. We show that R with suitably restricted additive torsion must contain a nontrivial central ideal if it admits a derivation d which is nonzero on a nontrival left ideal U of R, and the map d k-1 (x) is centralizing on U.