Generalized derivations on ideals of prime rings

Abstract

Let R be a prime ring. By a generalized derivation we mean an additive mapping g W R ! R such that g.xy/ D g.x/y C xd.y/ for all x; y 2 R where d is a derivation of R. In the present paper our main goal is to generalize some results concerning derivations of prime rings to generalized derivations of prime rings.

Stronger Lie derivations on MA-semirings

“…Nowadays such semirings are studied by many authors in various directions regardless of the derivations in rings where other methods are used (cf. [2,15,18]). One of the main directions of such studies is investigation of properties of ideals (cf.…”

Determination of the Potential Beneficiary From the Renunciation of Inheritance of Legal Heirs and the Cases Where Renunciation of Inheritance Deemed to Be Void

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Generalized derivations acting on multilinear polynomials in prime rings

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