Posner's second theorem, multilinear polynomials and vanishing derivations-Reference-Cited by-同舟云学术

Posner's second theorem, multilinear polynomials and vanishing derivations

Published:2004-06 Issue:3 Volume:76 Page:357-368
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

Filippis Vincenzo De,Vincenzo Onofrio Mario Di

Abstract

AbstractLet K be a commutative ring with unity, R a prime K-algebra of characteristic different from 2, d and δ non-zero derivations of R, f (x1,…, xn) a multilinear polynomial over K.If

then f(x1,…,xnis central-valued on R.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference18 articles.

1. Derivations with Engel conditions on multilinear polynomials

2. The additive subgroup generated by a polynomial

3. Differential identities of prime rings

4. Lie ideals and derivations of prime rings

5. Derivations with power-central values on multilinear polynomials;Wong;Algebra Colloquium,1996

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