Open AccessSome Theorems For Generalized (U,M)-Derivations In Semiprime Gamma-Rings
Author(s) -
Mohammad Mizanur Rahman,
Akhil Chandra Paul
Publication year - 2017
Publication title -
journal of scientific research
Language(s) - English
Resource type - Journals
eISSN - 2070-0245
pISSN - 2070-0237
DOI - 10.3329/jsr.v9i2.30502
Subject(s) - mathematics , semiprime ring , ideal (ethics) , semiprime , pure mathematics , ring (chemistry) , square (algebra) , combinatorics , discrete mathematics , prime (order theory) , geometry , philosophy , chemistry , organic chemistry , epistemology
The objective of this paper is to establish some results for generalized (U,M)-derivation in semiprime Gamma-ring, where U is a Lie ideal of a semiprime Gamma-ring. Let d be a-(U,M)-derivation and f be a generalized (U,M)-derivation of M then we prove that f(u?v)=f(u)?v+u?d(v) for all u,v belongs to U and a belongs to Gamma, when U is an admissible Lie ideal of M; f(u?m)=f(u)?m+u?d(m) for all u belongs to U, m belongs to M and a belongs to Gamma, when U is a square closed Lie ideal of M.