We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
ON JORDAN TRIPLE HIGHER DERIVATIONS ON PRIME Γ-RINGS.
- Authors
Ashraf, Mohammad; Parveen, Nazia
- Abstract
Let M be a Γ-ring and ℕ be the set of non-negative integers. A family D = {dn}n∈ℕ of additive mappings dn : M → M such that d0 = IM is said to be a triple higher derivation (resp. Jordan triple higher derivation) on M if dn(aαbβc) = ∑ p+q+r=n dp(a)αdq(b)βdr(c) (resp. dn(aαbβa) = ∑p+q+r=n dp(a)αdq(b)βdr(a)) holds for all a, b, c ∈ M and α, β ∈ Γ, and for each n G ∈ ℕ. In the present paper it is shown that on prime Γ-ring M of characteristic different from two every Jordan triple higher derivation on M is a higher derivation on M.
- Subjects
RING extensions (Algebra); CURVES; JORDAN algebras
- Publication
Palestine Journal of Mathematics, 2016, Vol 5, Issue 2, p208
- ISSN
2219-5688
- Publication type
Article