Open Access(U, M) -derivations in prime ?-rings
Author(s) -
Mohammad Mizanur Rahman,
Akhil Chandra Paul
Publication year - 2016
Publication title -
the bangladesh journal of scientific research
Language(s) - English
Resource type - Journals
eISSN - 2408-8447
pISSN - 0253-5432
DOI - 10.3329/bjsr.v27i2.26232
Subject(s) - ideal (ethics) , prime (order theory) , mathematics , physics , combinatorics , torsion (gastropod) , prime ring , ring (chemistry) , chemistry , law , political science , medicine , surgery , organic chemistry
In this article, we define (U,M)-derivation d of a ? -ring M . For a Lie ideal U of a 2 - torsion free prime ? -ring M satisfying the condition a?b?c = a?b?c for all a,b, c?M and ? ,? ?? , we prove the following results:(i) ifU is an admissible Lie ideal of M, then d(u?v) = d(u)?v + u?d(v) for all u, v?U ,? ??(ii) if u?u?U for all u?U,? ?? , then d(u?m) = d(u)?m + u?d(m) for all m ? M Bangladesh J. Sci. Res. 27(2): 143-153, December-2014