Gel'fand-Kirillov dimension for algebras associated with the Weyl algebra
Generalized derivations and commutativity of rings with involution.
Generalized derivations on Lie ideals in prime rings
Let be a prime ring with its Utumi ring of quotients and extended centroid . Suppose that is a generalized derivation of and is a noncentral Lie ideal of such that for all , where is a fixed integer. Then one of the following holds:
Generalized Identities and Semiprime Rings with Involution.
Generalized Jordan derivations associated with Hochschild 2-cocycles of triangular algebras
In this paper, we investigate a new type of generalized derivations associated with Hochschild 2-cocycles which is introduced by A.Nakajima (Turk. J. Math. 30 (2006), 403–411). We show that if is a triangular algebra, then every generalized Jordan derivation of above type from into itself is a generalized derivation.
Generic 2 x 2 Matrices with involution.
Group algebras with centrally metabelian unit groups.
Given a field K of characteristic p > 2 and a finite group G, necessary and sufficient conditions for the unit group U(KG) of the group algebra KG to be centrally metabelian are obtained. It is observed that U(KG) is centrally metabelian if and only if KG is Lie centrally metabelian.