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On Additivity and Multiplicativity of Centrally Extended α,β-Higher Derivations in Rings

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  • O. H. Ezzat
  • Attila Gil nyi

Abstract

In this paper, the concept of centrally extended α,β-higher derivations is studied. It is shown to be additive in a ring without nonzero central ideals. Also, we prove that in semiprime rings with no nonzero central ideals, every centrally extended α,β-higher derivation is an α,β-higher derivation. Some examples are given to show that our theorems’ assumptions cannot be relaxed. The invariance problem of the center of the ring is also investigated.

Suggested Citation

  • O. H. Ezzat & Attila Gil nyi, 2024. "On Additivity and Multiplicativity of Centrally Extended α,β-Higher Derivations in Rings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2024, pages 1-7, November.
    • Handle: RePEc:hin:jijmms:7214864
    DOI: 10.1155/2024/7214864
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