Derivations in differentially prime rings

Abstract

Earlier properties of Lie rings [Formula: see text] of derivations in commutative differentially prime rings [Formula: see text] was investigated by many authors. We study Lie rings [Formula: see text] in the non-commutative case and shown that if [Formula: see text] is a [Formula: see text]-prime ring of characteristic [Formula: see text], then [Formula: see text] is a prime Lie ring or [Formula: see text] is a commutative ring.

Reverse Derivations on δ-prime rings

“…Many researchers studied the properties of Lie rings with derivations D of differentially simple, prime and semiprime rings (see for example [1][2][3][4], [14,15], [16,17] and [18,28], where further references can be found for the widening in this field.…”

Derivations of group rings

“…)-bimodule of all functions from G in K). Derivations of certain rings were investigated in [2,3,6,7,8,9,10,31,32,33,34,35,36,37,42,45,48].…”