Open AccessSemi-group Ideals on prime and semiprime Γ-Near - Rings with Γ- (λ,δ) – derivations
Author(s) -
Hiba A. Ahmed,
Abdulrahman H. Majeed
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1530/1/012030
Subject(s) - semiprime ring , prime (order theory) , abelian group , semiprime , mathematics , ideal (ethics) , group (periodic table) , pure mathematics , associated prime , ring (chemistry) , prime ideal , group ring , combinatorics , discrete mathematics , physics , chemistry , philosophy , organic chemistry , epistemology , quantum mechanics
Let h is Γ −(λ,δ) – derivation on prime Γ − near-ring G and K be a nonzero semi-group ideal of G and δ(K) = K, then the purpose of this paper is to prove the following :- (a) If λ is onto on G, λ(K) = K, λ(0) = 0 and h acts like Γ − hom. or acts like anti–Γ − hom. on K, then h(K) = {0}.(b) If h + h is an additive on K, then (G, +) is abelian.