Add to ORKGThe purpose of this note is to prove the following result. Let R be a semiprime ring of characteristic not 2 and G: R−→R be an additive mapping such that G(x2) = G(x)x + xD(x) holds for all x ∈ R and some derivations D of R. Then G is a Jordan generalized derivation
Let R be a prime ring. Suppose that θ, φ are endomorphisms of R. An additive mapping F: R → R is cal...
[[abstract]]Let R be a 2-torsion free semiprime ring. In this paper we will show that every Jordan t...
We prove that a semiprime ring R must be commutative if it admits a derivation d such that (i) xy+d(...
The purpose of this note is to prove the following result. Let R be a 6−torsion free semiprime *-rin...
The purpose of this note is to prove the following result. Suppose R is a 2-torsion free semiprime *...
Let R be a 2−torsion free semiprime ring such that R has a commu-tator which is not a zero divisor a...
Let R be a ring with centre Z(R). An additive mapping F: R − → R is said to be a generalized derivat...
ABSTRACT: In this paper, we prove that if G is a Jordan u-generalized reverse derivation of a semi p...
Let R be a 6-torsion free semiprime *-ring, \tau an endomorphism of R, \sigam an epimorphism of R a...
We prove in this note the following result. Let n>1 be an integer and let R be an n!-torsion-free se...
Let R be a ring and F and G be generalized derivations of R with associated derivations d and g resp...
Let α, β be automorphisms of a semiprime ∗-ring R. We show that: (i) If F: R → R is an additive mapp...
Abstract. We know that every Jordan generalized k-derivation of a Γ-ring is not a generalized k-deri...
Let N be a near ring. An additive mapping f:N→N is said to be a right generalized (resp., left gener...
Let R be a prime ring. By a generalized derivation we mean an additive mapping g W R›R such that g(x...
Let R be a prime ring. Suppose that θ, φ are endomorphisms of R. An additive mapping F: R → R is cal...
[[abstract]]Let R be a 2-torsion free semiprime ring. In this paper we will show that every Jordan t...
We prove that a semiprime ring R must be commutative if it admits a derivation d such that (i) xy+d(...
The purpose of this note is to prove the following result. Let R be a 6−torsion free semiprime *-rin...
The purpose of this note is to prove the following result. Suppose R is a 2-torsion free semiprime *...
Let R be a 2−torsion free semiprime ring such that R has a commu-tator which is not a zero divisor a...
Let R be a ring with centre Z(R). An additive mapping F: R − → R is said to be a generalized derivat...
ABSTRACT: In this paper, we prove that if G is a Jordan u-generalized reverse derivation of a semi p...
Let R be a 6-torsion free semiprime *-ring, \tau an endomorphism of R, \sigam an epimorphism of R a...
We prove in this note the following result. Let n>1 be an integer and let R be an n!-torsion-free se...
Let R be a ring and F and G be generalized derivations of R with associated derivations d and g resp...
Let α, β be automorphisms of a semiprime ∗-ring R. We show that: (i) If F: R → R is an additive mapp...
Abstract. We know that every Jordan generalized k-derivation of a Γ-ring is not a generalized k-deri...
Let N be a near ring. An additive mapping f:N→N is said to be a right generalized (resp., left gener...
Let R be a prime ring. By a generalized derivation we mean an additive mapping g W R›R such that g(x...
Let R be a prime ring. Suppose that θ, φ are endomorphisms of R. An additive mapping F: R → R is cal...
[[abstract]]Let R be a 2-torsion free semiprime ring. In this paper we will show that every Jordan t...
We prove that a semiprime ring R must be commutative if it admits a derivation d such that (i) xy+d(...