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- Title
LIE IDEALS AND ACTION OF GENERALIZED DERIVATIONS IN RINGS.
- Authors
DHARA, BASUDEB; REHMAN, NADEEM UR; ARIF RAZA, MOHD
- Abstract
Let R be a prime ring of characteristic not 2, U a nonzero square closed Lie ideal of R and F;G;H be the generalized derivations with associated derivations d,δh of R respectively. In the present paper, we study the situations if one the follwoing holds (1) F(u)G(v)±H(uv)ϵ Z(R), (2) F(u)F (v)±H(vu) ϵ Z(R), for all u,v ϵ U, then U ⊆Z(R).
- Subjects
RING theory; IDEALS (Algebra); LIE groups; DERIVATIVES (Mathematics); QUOTIENT rings
- Publication
Miskolc Mathematical Notes, 2015, Vol 16, Issue 2, p769
- ISSN
1787-2405
- Publication type
Article
- DOI
10.18514/MMN.2015.1343