Open Access(U. M)-derivations in completely semiprime ?-rings
Author(s) -
Mohammad Mizanur Rahman,
Akhil Chandra Paul
Publication year - 2016
Publication title -
bangladesh journal of scientific and industrial research
Language(s) - English
Resource type - Journals
eISSN - 2224-7157
pISSN - 0304-9809
DOI - 10.3329/bjsir.v51i1.27076
Subject(s) - semiprime ring , semiprime , ideal (ethics) , mathematics subject classification , mathematics , ring (chemistry) , subject (documents) , pure mathematics , discrete mathematics , combinatorics , computer science , philosophy , epistemology , library science , prime (order theory) , chemistry , organic chemistry
The objective of this paper is to extend and generalize some results of (Rahman and Paul, 2014) in completely semiprime ?- rings. We prove that, if is an admissible Lie ideal of a completely semiprime ?-ring and d is a (U, M) -derivation of then d(u?v)=d(u)?v+u?d(v) for all u, v ? U and ? ? ?Mathematics Subject Classification: 13N15, 16W10, 17C50Bangladesh J. Sci. Ind. Res. 51(1). 69-74, 2016