ON mTH-COMMUTATORS AND ANTI-COMMUTATORS INVOLVING GENERALIZED DERIVATIONS IN PRIME RINGS

Mohd Arif Raza

DOI Number
https://doi.org/10.22190/FUMI1903391R
First page
391
Last page
398

Abstract


In this manuscript, we study the $m$-th commutator and anti-commutator involving generalized derivations on some suitable subsets of rings. We attain the information about the structure of rings and the behaviour of generalized derivation in form of multiplication by some specific element of Utumi quotient ring which satisfies certain differential identities.

Keywords

prime ring; Generalized derivation, Generalized polynomial identity.

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References


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DOI: https://doi.org/10.22190/FUMI1903391R

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