Abstract
Let M be a 2‐torsion free prime Γ‐ring satisfying the condition aαbβc=aβbαc,∀a,b,c∈M and α,β∈Γ, U be an admissible Lie ideal of M and F=(fi)i∈N be a generalized higher (U,M)‐derivation of M with an associated higher (U,M)‐derivation D=(di)i∈N of M. Then for all n∈N we prove that .Mathematics Subject Classification (2010): 13N15; 16W10; 17C50
Highlights
The notion of a -ring has been developed by Nobusawa (1964), as a generalization of a ring
We introduce the concept of a (U, M)-derivation, generalized (U, M)-derivation and generalized higher (U, M)derivation, where U is a Lie ideal of a -ring M
Generalized higher (U, M)-derivation we introduce generalized higher (U, M)derivations in -rings
Summary
The notion of a -ring has been developed by Nobusawa (1964), as a generalization of a ring. (Rahman and Paul (2013), Definition 2.1) Let M be a -ring and U be a Lie ideal of M.
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