Results on prime near-ring with (σ,τ)-derivation

Autor: Golbasi, Oznur, Aydin, Neset
Jazyk: angličtina
Rok vydání: 2004
Předmět:
Zdroj: Mathematical Journal of Okayama University. 46(1):1-8
ISSN: 0030-1566
Popis: Let N be a prime left near-ring with multiplicative centerZ; and D be a (α, γ)derivation such that δD = Dδ and ΓD = DΓ(i)If D(N)⊂ Z; or [D(N);D(N)] = 0 or [D(N);D(N)]σ, γ= 0; then (N; +)is abelian. (ii) If N is 2-torsion free, d1 is a (α, γ)-derivation and d2 is a derivation on N such that d1d2(N) = 0, then d1 = 0 or d2 = 0.
Databáze: OpenAIRE