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

O. H. Ezzat and Attila Gil Nyi

International Journal of Mathematics and Mathematical Sciences, 2024, vol. 2024, 1-7

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.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:7214864

DOI: 10.1155/2024/7214864

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