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- W4312313286 abstract "TheAli, A. Huque, I. purpose of this paper is to obtain the structure of a prime near ring N admitting a right generalized derivation F associated with a nonzero derivation d satisfying either of the conditions: (i) $$F([x,y]_sigma )=pm x^m(xcirc y)_sigma x^n$$ , (ii) $$F([x,y]_sigma )=pm x^m[x,y]_sigma x^n$$ , (iii) $$F(xcirc y)_sigma =pm x^m(xcirc y)_sigma x^n$$ , (iv) $$F(xcirc y)_sigma =pm x^m[x,y]_sigma x^n$$ , (v) $$F([x,y]_sigma )=pm [F(x),y]_sigma $$ and (vi) $$F(xcirc y)_sigma =pm (F(x)circ y)_sigma $$ for all $$x,yin U$$ , where U is a nonzero semigroup ideal of N, $$sigma :Nrightarrow N$$ is a map such that $$sigma (U)=U$$ and m, n are non-negative integers. Moreover, we give a characterization of these mappings." @default.
- W4312313286 created "2023-01-04" @default.
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- W4312313286 date "2022-01-01" @default.
- W4312313286 modified "2023-10-14" @default.
- W4312313286 title "Structure of Prime Near Rings with Generalized Derivations" @default.
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- W4312313286 doi "https://doi.org/10.1007/978-981-19-3898-6_4" @default.
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