Add to ORKG[[abstract]]Let R be a commutative ring, and D a Lie subring and an R-submodule of Der(R) such that R is D-semiprime (or D-prime). We investigate the structure of the ideals of D as Lie rings. As a consequence, we give a necessary and sufficient condition for the ideals of D to be semiprime (or prime, respectively) Lie rings
summary:Let $R$ be a prime ring, $I$ a nonzero ideal of $R$, $d$ a derivation of $R$ and $m, n$ fixe...
We give an elementary and self-contained proof of the theorem which says that for a semiprime ring c...
Abstract. In the present paper, we extend some well known results concerning derivations of prime ri...
[[abstract]]Let R be a 2-torsionfree commutative ring, and D a Lie subring and an R-submodule of Der...
AbstractLet R be a commutative associative ring with 1 and let Der(R) be the Lie ring of all derivat...
Abstract. Let R be a commutative associative ring with 1 and let Der(R) be the Lie ring of all deriv...
In this paper, we proved that if R is a prime ring, U be a nonzero Lie ideal of R , d be a nonzero (...
Let R be a prime ring with characteristic not 2, ; ¿; ®; ¯; ¸ and automorphisms of R and d: R ¡! R...
We prove that a semiprime ring R must be commutative if it admits a derivation d such that (i) xy+d(...
AbstractLet R be a commutative associative ring with 1 and let Der(R) be the Lie ring of all derivat...
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. (...
The notion of a \verb"quasi-prime ideal", for the first time, was introduced in differential commuta...
Abstract. Let R be a prime ring with center Z and characteristic differ-ent from two, U a nonzero Li...
summary:Let $R$ be a prime ring, $I$ a nonzero ideal of $R$, $d$ a derivation of $R$ and $m, n$ fixe...
We give an elementary and self-contained proof of the theorem which says that for a semiprime ring c...
Abstract. In the present paper, we extend some well known results concerning derivations of prime ri...
[[abstract]]Let R be a 2-torsionfree commutative ring, and D a Lie subring and an R-submodule of Der...
AbstractLet R be a commutative associative ring with 1 and let Der(R) be the Lie ring of all derivat...
Abstract. Let R be a commutative associative ring with 1 and let Der(R) be the Lie ring of all deriv...
In this paper, we proved that if R is a prime ring, U be a nonzero Lie ideal of R , d be a nonzero (...
Let R be a prime ring with characteristic not 2, ; ¿; ®; ¯; ¸ and automorphisms of R and d: R ¡! R...
We prove that a semiprime ring R must be commutative if it admits a derivation d such that (i) xy+d(...
AbstractLet R be a commutative associative ring with 1 and let Der(R) be the Lie ring of all derivat...
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. (...
The notion of a \verb"quasi-prime ideal", for the first time, was introduced in differential commuta...
Abstract. Let R be a prime ring with center Z and characteristic differ-ent from two, U a nonzero Li...
summary:Let $R$ be a prime ring, $I$ a nonzero ideal of $R$, $d$ a derivation of $R$ and $m, n$ fixe...
We give an elementary and self-contained proof of the theorem which says that for a semiprime ring c...
Abstract. In the present paper, we extend some well known results concerning derivations of prime ri...