We prove that a semiprime ring R must be commutative if it admits a derivation d such that (i) xy+d(xy)=yx+d(yx) for all x, y in R, or (ii) xy−d(xy)=yx−d(yx) for all x, y in R. In the event that R is prime, (i) or (ii) need only be assumed for all x, y in some nonzero ideal of R
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 with the centre Z(R), U be a non-zero ideal and d: R → R be...
Let $R$ be a prime ring, extended centroid $C$ and $m, n, k \geq1$ are fixed integers. If $R$ admits...
WOS: 000269549900007Let R be a prime ring, I a nonzero ideal of R, d a derivation of R and n a fixed...
WOS: 000269549900007Let R be a prime ring, I a nonzero ideal of R, d a derivation of R and n a fixed...
Let R be a prime ring, I a nonzero ideal of R, d a derivation of R and n a fixed positive integer. (...
Let R be a ring and F and G be generalized derivations of R with associated derivations d and g resp...
Let R be a 2-torsion free semiprime ring, I a nonzero ideal of R, Z the center of R and D:R→R a deri...
summary:Let $R$ be a prime ring, $I$ a nonzero ideal of $R$, $d$ a derivation of $R$ and $m, n$ fixe...
AbstractLet R be a prime ring, extended centroid C, Utumi quotient ring U, and m, n ≥ 1 are fixed po...
WOS: 000238625200002Let R be a ring and S a nonempty subset of R. A mapping f : R --> R is called co...
summary:Let $R$ be a prime ring, $I$ a nonzero ideal of $R$, $d$ a derivation of $R$ and $m, n$ fixe...
summary:Let $R$ be a prime ring, $I$ a nonzero ideal of $R$, $d$ a derivation of $R$ and $m, n$ fixe...
The main purpose of this paper is to study and investigate some results concerninggeneralized deriva...
The purpose of this paper is to investigate identities with derivations and automorphisms on semipri...
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 with the centre Z(R), U be a non-zero ideal and d: R → R be...
Let $R$ be a prime ring, extended centroid $C$ and $m, n, k \geq1$ are fixed integers. If $R$ admits...
WOS: 000269549900007Let R be a prime ring, I a nonzero ideal of R, d a derivation of R and n a fixed...
WOS: 000269549900007Let R be a prime ring, I a nonzero ideal of R, d a derivation of R and n a fixed...
Let R be a prime ring, I a nonzero ideal of R, d a derivation of R and n a fixed positive integer. (...
Let R be a ring and F and G be generalized derivations of R with associated derivations d and g resp...
Let R be a 2-torsion free semiprime ring, I a nonzero ideal of R, Z the center of R and D:R→R a deri...
summary:Let $R$ be a prime ring, $I$ a nonzero ideal of $R$, $d$ a derivation of $R$ and $m, n$ fixe...
AbstractLet R be a prime ring, extended centroid C, Utumi quotient ring U, and m, n ≥ 1 are fixed po...
WOS: 000238625200002Let R be a ring and S a nonempty subset of R. A mapping f : R --> R is called co...
summary:Let $R$ be a prime ring, $I$ a nonzero ideal of $R$, $d$ a derivation of $R$ and $m, n$ fixe...
summary:Let $R$ be a prime ring, $I$ a nonzero ideal of $R$, $d$ a derivation of $R$ and $m, n$ fixe...
The main purpose of this paper is to study and investigate some results concerninggeneralized deriva...
The purpose of this paper is to investigate identities with derivations and automorphisms on semipri...
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 with the centre Z(R), U be a non-zero ideal and d: R → R be...
Let $R$ be a prime ring, extended centroid $C$ and $m, n, k \geq1$ are fixed integers. If $R$ admits...
DOI
Add to ORKG