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- W4312756104 abstract "Suppose $$mathscr {R}$$ is a prime ring that is non-commutative in structure and characteristic of $$mathscr {R}$$ is a positive integer apart from 2 and $$M=(-2)^{k-1}-1$$ , where k is any odd positive integers greater than one. Let the Utumi ring of quotients be denoted by $$mathscr {Q}$$ , the extended centroid of $$mathscr {R}$$ by $$mathscr {C}$$ . Consider $$mathscr {L}$$ to be Lie ideal of $$mathscr {R}$$ non-central in nature and $$mathscr {T}$$ be a non-zero generalized derivation of $$mathscr {R}$$ . If $$[mathscr {T}(u^s), u^t]^m=[mathscr {T}(u), u]$$ , for every $$u in mathscr {L}$$ , where m, s and t be the fixed positive integers such that $$m >1,~~s ge 1$$ and $$t ge 1$$ , then one of the following situations prevails:" @default.
- W4312756104 created "2023-01-05" @default.
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- W4312756104 date "2022-01-01" @default.
- W4312756104 modified "2023-09-30" @default.
- W4312756104 title "Prime Rings with Generalized Derivations and Power Values on Lie Ideals" @default.
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- W4312756104 doi "https://doi.org/10.1007/978-981-19-3898-6_24" @default.
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