Derivation with engel conditions on multilinear polynomials in prime rings

• Autorzy: Dhara B.
• Języki publikacji: EN

Abstrakty

EN

Let R be a prime ring with extended centroid C and characteristic different from 2, d a nonzero derivation of R, f(x1,..., xn) a nonzero multilinear polynomial over C such that [d2(f(x1,... , xn)),d(f(x1,... ,xn))]k = 0 for all x1,... ,xn in some nonzero right ideal [...] of R, where k is a fixed positive integer. If d(p) p [..]0, then pC = eRC for some idempotent e in the socle of RC and /(x1,..., xn) is central-valued on eRCe.

Słowa kluczowe

EN

polynomials; prime rings; derivation

PL

wielomiany; pierścienie pierwszorzędowe; pochodne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2009
• Tom: Vol. 42, nr 3
• Strony: 467--478
• Opis fizyczny: Bibliogr. 26 poz.

Twórcy

autor

Dhara B.

• Department of Mathematics Belda College Belda Paschim Medinipur-721424 (W.B), India,

Bibliografia

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