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FUNCTIONAL IDENTITIES ON PRIME RINGS INVOLVING GENERALIZED DERIVATIONS
Journal: International Education and Research Journal (Vol.9, No. 9)Publication Date: 2023-09-15
Authors : Krishna Gopal Pradhan;
Page : 218-220
Keywords : Prime Rings; Generalized Derivations; Functional Identities with Central Value;
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Abstract
The commutativity of a prime ring and structure maps defined on it is studied here. In particular, we prove that a prime ring is either commutative or a nonzero generalized derivation defined on it is the identity map whenever it satisfies the certain functional identities on.
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Last modified: 2023-10-26 18:45:18