On Generalized (Sigma,Tau)-Derivations in 3-Prime Near-Rings | Zendy

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On Generalized (Sigma,Tau)-Derivations in 3-Prime Near-Rings

Author(s) -

Emine Koç

Publication year - 2020

Publication title -

tamkang journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 18

eISSN - 0049-2930

pISSN - 2073-9826

DOI - 10.5556/j.tkjm.51.2020.1829

Subject(s) - mathematics , homomorphism , prime (order theory) , multiplicative function , prime ring , ideal (ethics) , semigroup , ring (chemistry) , commutative ring , sigma , center (category theory) , pure mathematics , semiprime ring , prime ideal , associated prime , commutative property , discrete mathematics , combinatorics , mathematical analysis , physics , law , chemistry , organic chemistry , quantum mechanics , crystallography , political science

Let N be a 3-prime left near-ring with multiplicative center Z, f be a generalized (σ,τ)- derivation on N with associated (σ,τ)-derivation d and I be a semigroup ideal of N. We proved that N must be a commutative ring if f(I)⊂Z or f act as a homomorphism or f act as an anti-homomorphism.

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