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.