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Your search keyword '"Rehman, Nadeem ur"' showing total 1 results
Start Over Author "Rehman, Nadeem ur" Topic generalization Topic generalized derivations
1 results on '"Rehman, Nadeem ur"'

1. On prime and semiprime rings with generalized derivations and non-commutative Banach algebras.

Author

RAZA, MOHD ARIF and REHMAN, NADEEM UR

Subjects
*RING theory, *GENERALIZATION, *NONCOMMUTATIVE rings, *BANACH algebras, *RINGS of integers
Abstract

Let R be a prime ring of characteristic different from 2 and m a fixed positive integer. If R admits a generalized derivation associated with a nonzero deviation d such that [F(x), d(y)]m = [x, y] for all x, y in some appropriate subset of R, then R is commutative. Moreover, we also examine the case R is a semiprime ring. Finally, we apply the above result to Banach algebras, and we obtain a non-commutative version of the Singer--Werner theorem. [ABSTRACT FROM AUTHOR]

Published
2016
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