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Rings with Centrally-Extended Higher ()-Derivations
Journal article   Peer reviewed

Rings with Centrally-Extended Higher ()-Derivations

O. H. Ezzat
Advances in applied Clifford algebras, Vol.33(2)
01/04/2023
DOI: https://doi.org/10.1007/s00006-023-01265-z

Abstract

Mathematics Mathematics, Applied Physical Sciences Physics Physics, Mathematical Science & Technology
We study the notions of centrally-extended higher (*)-derivations and centrally-extended generalized higher (*)-derivations. Both are 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 (generalized) higher (*)-derivation is a (generalized) higher (*)-derivation.

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