[PDF] Top 20 Generalized Derivations in Semiprime Gamma Rings

... a generalized derivation if there exists a derivation d : M → M such that Dxαy Dxαy xαdy for all x, y ∈ M, α ∈ ...the generalized inner ...Jordan generalized derivation if there exists a derivation d ... See full document

... of Generalized derivations in ...of Generalized derivations in semiprime gamma rings Bresar [2] studied on the distance of the composition of two derivations to the ... See full document

... reverse derivations were presented. The reverse derivations on semi prime rings have been studied by Samman and Alyamani ...prime rings by using reverse ...a gamma ring with the ... See full document

... left generalized derivation with associated derivation d if F(xy) = d(x)y + xF (y), for all x, y ∈ N ...a generalized derivation with associated derivation d if it is both a left as well as a right ... See full document

... a generalized inner derivation [8]. Generalized inner derivations are called elementary operators and have been extensively studied in operator ...inner derivations f and g by f (x) = [a, x] ... See full document

... with derivations and automorphisms on semiprime ...2-torsion-free semiprime ring, such that [D(x)x + xα(x),x] = 0 holds for all x ∈ R, then D and α − I , where I denotes the identity mapping, map R ... See full document

... 3 generalized the notion of free action of automorphisms to von Neumann algebras, not necessarily abelian, by using implicitly the dependent elements of an ... See full document

... 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

... Y.Ceven [2] worked on Jordan left derivations on completely prime Γ - rings. He investigated the existence of a nonzero Jordan left derivation on a completely prime Γ -ring that makes the Γ -ring ... See full document

... 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

... and generalized by Barnes 1966 (1) as above ...be semiprime if xГMГx=0 implies that x=0 for all x,y 𝜖M ,(2) ...two derivations on M are said to be orthogonal if d(x) ГMГ g(y) =(0)=g(y) ГMГd(x) for ... See full document

... a semiprime ring R can be uniquely extended to a derivation of its left Utumi quotient ring U and so any derivation of R can be defined on the whole of U [24, Lemma ... See full document

... a semiprime ring and 𝑑 is a derivation on 𝑅 which is either an endomorphism or an antiendomorphism on 𝑅, then 𝑑 = ...course, derivations which are not endomorphisms or antiendomorphisms on 𝑅 may behave as ... See full document

... a generalized skew-derivation of R if there exists a skew-derivation D of R with associated automorphism α such that G(xy)=G(x)y+α(x)D(y) for all ...of generalized skew-derivation is a unified notion of ... See full document

... a semiprime near-ring if xN x = {0} implies x = ...been generalized in different directions by various authors ( for reference see [1, 3, ...have generalized the notion of multiplicative derivation ... See full document

... 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

... prime rings with derivations was initiated by ...studied generalized derivations in prime ...a semiprime ring there exists a nonzero ideal of and a derivation such that ([ , ]) = [ , ] ... See full document

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

... 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 ... See full document

... a generalized derivation of R if there exists a derivation d from R to R such that gxy gxy xdy holds for all x, y ∈ ...a generalized derivation of R. Thus, generalized derivation covers both the ... See full document