Abstract

Left annihilator of identities with generalized derivations in prime and semiprime rings

Highlights

  • Let R be a noncommutative prime ring of char (R) = 2, F a generalized derivation of R associated to the derivation d of R and I a nonzero ideal of R

  • We study the left annihilator of the sets {F (x)◦n F (y)−x◦n y | x, y ∈ I} and {F (x)◦n F (y)−d(x◦n y) | x, y ∈ I}

  • 2010 Mathematics Subject Classification: 16W25, 16R50, 16N60

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Summary

Introduction

Abstract Let R be a noncommutative prime ring of char (R) = 2, F a generalized derivation of R associated to the derivation d of R and I a nonzero ideal of R.

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