Geodesic
Homogeneous Polynomials, Centralizers and Derivations in Rings
Canadian journal of mathematics, Tome 45 (1993) no. 1, pp. 22-32

Voir la notice de l'article provenant de la source Cambridge University Press

Let d be a non-zero derivation on a primitive ring R and ƒ(x 1,..., xn ) a homogeneous polynomial of degree m. We prove that the condition d(ƒ(r 1,..., rn )t) = 0, for all r 1,..., rn ∈ R, with t depending on r 1,..., r n, forces R to be a finite dimensional central simple algebra and ƒ power-central valued on R. We also obtain bounds on [R : Z(R)] in terms of m.
DOI : 10.4153/CJM-1993-003-4
Mots-clés : 16A38, 16A72 
Divincenzo, Onofrio Mario; Sagona, Rosa. Homogeneous Polynomials, Centralizers and Derivations in Rings. Canadian journal of mathematics, Tome 45 (1993) no. 1, pp. 22-32. doi: 10.4153/CJM-1993-003-4
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