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[PDF] Top 20 Dependent Elements of Derivations on Semiprime Rings

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Dependent Elements of Derivations on Semiprime Rings

Dependent Elements of Derivations on Semiprime Rings

... the dependent elements of an automorphism. Dependent elements of automorphisms were later studied by Choda et ...studied dependent elements of automorphisms in the context of ... See full document

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Identities with derivations and automorphisms on semiprime rings

Identities with derivations and automorphisms on semiprime rings

... The purpose of this paper is to investigate identities with derivations and automorphisms on semiprime rings. A classical result of Posner states that the existence of a nonzero centralizing ... See full document

8

On Prime and Semiprime Rings with Additive Mappings and Derivations

On Prime and Semiprime Rings with Additive Mappings and Derivations

... prime rings was obtained by Mayne ...that derivations, automorphisms, and some related maps cannot be centralizing on certain subsets of noncommutative prime (and some other) ...for semiprime ... See full document

8

Lie Ideals and Generalized Derivations in Semiprime Rings

Lie Ideals and Generalized Derivations in Semiprime Rings

... Abstract. Let R be a 2-torsion free ring and L a Lie ideal of R. An additive mapping F : R → R is called a generalized derivation on R if there exists a derivation d : R → R such that F(xy) = F (x)y+xd(y) holds for all ... See full document

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A note on a pair of derivations of semiprime rings

A note on a pair of derivations of semiprime rings

... of derivations on semiprime ...a semiprime ring with center Z(R), and let f , g be derivations of R such that f (x)x + xg(x) ∈ Z(R) for all x ∈ R, then f and g are ...linear derivations ... See full document

6

Symmetric Skew Reverse n-Derivations on Prime
Rings and Semiprime rings

Symmetric Skew Reverse n-Derivations on Prime Rings and Semiprime rings

... Abstract: Let n ≥ 2 be any fixed positive integer and ä denote the trace of symmetric skew reverse n-derivation Ä :R n → R, associated with an antiautomorphism á * .Let I be any Ideal of R.(1)If R is non commutative ... See full document

6

Annihilator condition of a pair of derivations in prime and semiprime rings

Annihilator condition of a pair of derivations in prime and semiprime rings

... Let R be a prime ring, U the Utumi quotient ring of R, C = Z(U ) the extended centroid of R, L a non-central Lie ideal of R, H and G non-zero generalized derivations of R. Suppose that there exists an integer n ≥ ... See full document

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Remarks on Generalized Derivations in Prime and Semiprime Rings

Remarks on Generalized Derivations in Prime and Semiprime Rings

... Let R be a ring with center Z and I a nonzero ideal of R. An additive mapping F : R → R is called a generalized derivation of R if there exists a derivation d : R → R such that Fxy Fxy xdy for all x, y ∈ R. In the ... See full document

6

On Skew Left n-Derivations with Lie Ideal Structure

On Skew Left n-Derivations with Lie Ideal Structure

... centralizing derivations like J. Vukman who investigated symmetric bi-derivations on prime and semiprime rings ...and semiprime rings (10) and more results in (11, 12, 13, 14, ... See full document

6

Jordan automorphisms, Jordan derivations of generalized
triangular matrix algebra

Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra

... A well-know result of Herstein [11] states that every Jordan isomorphism on a prime ring of characteristic di ff erent from 2 is either an isomorphism or an anti-isomorphism. We remark that the situation where the ... See full document

8

Identities in $3$-prime near-rings with left multipliers

Identities in $3$-prime near-rings with left multipliers

... and semiprime rings admitting derivations and generalized derivations which satisfy appropriate algebraic conditions on suitable subset of the ...a semiprime ring with a nonzero ideal I ... See full document

11

On dependent elements in rings

On dependent elements in rings

... in semiprime rings there are no nonzero nilpotent dependent elements (see ...ences. Dependent elements were implicitly used by Kallman [10] to extend the notion of free action of ... See full document

12

*-Left Derivations on Prime Left Nearrings

*-Left Derivations on Prime Left Nearrings

... The recent results on rings deal with commutativity of prime and semiprime rings admitting suitably constrained derivations. It is natural to look for comparable results on nearrings and this ... See full document

6

$\Gamma$*-Derivation Pair and Jordan $\Gamma$*-Derivation Pair on $\Gamma$-ring M with Involution

$\Gamma$*-Derivation Pair and Jordan $\Gamma$*-Derivation Pair on $\Gamma$-ring M with Involution

... Barnes [3], Luh [13], Kyuno [11], Hoque and Paul [8] as well as Uddin and Islam [16,17] studied the structure of Г-rings and obtained various generalizations of corresponding parts in ring theory. Note that ... See full document

9

(1,α)- Derivations in Prime г - near Rings

(1,α)- Derivations in Prime г - near Rings

... near rings, rings were introduced by ...of derivations in near ...and semiprime rings admitting suitably constrained derivations and generalized derivations, and several ... See full document

7

Generalized Derivations in Semiprime Gamma Rings

Generalized Derivations in Semiprime Gamma Rings

... Hvala 1 first introduced the generalized derivations in rings and obtained some remarkable results in classical rings. Daif and Tammam El-Sayiad 2 studied the generalized derivations in ... See full document

15

Left Annihilator of Identities Involving Generalized Derivations in Prime Rings

Left Annihilator of Identities Involving Generalized Derivations in Prime Rings

... for all x, y ∈ U . Let M (C) be the set of all maximal ideals of C and P ∈ M (C). Now by the standard theory of orthogonal completions for semiprime rings (see [24, p.31-32]), we have P U is a prime ideal ... See full document

13

On derivations and commutativity in prime rings

On derivations and commutativity in prime rings

... R is commutative or char(R) ≠ 2 and R satisfies the standard identity of degree 4. Several authors have studied what happens if the Engel condition is satisfied by the elements of a nonzero one-sided ideal of R. To ... See full document

7

Orthogonal Symmetric Higher bi-Derivations on Semiprime Г-Rings

Orthogonal Symmetric Higher bi-Derivations on Semiprime Г-Rings

... Now, the following lemmas of orthogonal symmetric higher bi-derivations on Г- ring M. Lemma (2-3):(2) Let M be a 2-torsion free semiprime Г-ring an x,y be elements of M. If for all 𝛼, 𝛽𝜖Г, then the ... See full document

5

An Equation Related to Centralizers in Semiprime Gamma Rings

An Equation Related to Centralizers in Semiprime Gamma Rings

... 1. W.E.Barnes, On the Γ -rings of Nobusawa, Pacific J. Math., 18 (1966), 411-422. 2. Y.Ceven, Jordan left derivations on completely prime gamma rings, C.U. Fen-Edebiyat Fakultesi, Fen Bilimleri ... See full document

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