Generalized derivations in prime rings and Banach algebras

Asma Ali ; Basudeb Dhara ; Shahoor Khan

Discussiones Mathematicae - General Algebra and Applications, Tome 34 (2014), p. 125-138 / Harvested from The Polish Digital Mathematics Library

Résumé

Let R be a prime ring with extended centroid C, F a generalized derivation of R and n ≥ 1, m≥ 1 fixed integers. In this paper we study the situations: 1. $(F(x∘y))^m = (x∘y)ⁿ$ for all x,y ∈ I, where I is a nonzero ideal of R; 2. (F(x∘y))ⁿ=(x∘y)ⁿ for all x,y ∈ I, where I is a nonzero right ideal of R. Moreover, we also investigate the situation in semiprime rings and Banach algebras.

Détail

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:270601

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