Open AccessOn 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.