On nearrings with derivation.
On prime near-rings with generalized derivation.
On rings satisfying certain polynomial identities.
On rings with prime centers.
On some additive mappings in rings with involution.
On some commutativity theorems for finite rings and finite groups
On the generalized hypercentralizer of a Lie ideal in a prime ring
On the mapping in an associative ring.
On -derivations in prime rings
Let be a 2-torsion free prime ring and let be automorphisms of . For any , set . Suppose that is a -derivation defined on . In the present paper it is shown that if satisfies , then either or is commutative if is a nonzero ideal of such that , for all , and commutes with both and , then either or is commutative. if is a nonzero ideal of such that , for all , and commutes with , then is commutative. Finally a related result has been obtain for -derivation....
Periodic rings with commuting nilpotents.
Prime and semiprime rings with symmetric skew n-derivations
Let n ≥ 3 be a positive integer. We study symmetric skew n-derivations of prime and semiprime rings and prove that under some certain conditions a prime ring with a nonzero symmetric skew n-derivation has to be commutative.
Remarks on derivations on semiprime rings.
Remarks on generalized derivations in prime and semiprime rings.
Right ideals and derivations on multilinear polynomials
Ringe mit nichtkommutativer Addition I.
Rings decomposed into direct sums of J-rings and nil rings.
Rings in which elements are sum of a central element and an element in the Jacobson radical
An element in a ring is called CJ if it is of the form , where belongs to the center and is an element from the Jacobson radical. A ring is called CJ if each element of is CJ. We establish the basic properties of CJ rings, give several characterizations of these rings, and connect this notion with many standard elementwise properties such as clean, uniquely clean, nil clean, CN, and CU. We study the behavior of this notion under various ring extensions. In particular, we show that the...
Rings with Dense Quasi-Centre.
Semirings whose additive endomorphisms are multiplicative
A ring or an idempotent semiring is associative provided that additive endomorphisms are multiplicative.
Some commutativity results for rings