Automorphisms and generalized skew derivations which are strong commutativity preserving on polynomials in prime and semiprime rings

Title:

Automorphisms and generalized skew derivations which are strong commutativity preserving on polynomials in prime and semiprime rings

Creator:

De Filippis, Vincenzo

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:8a2e85cd-4dbd-4039-ab1f-d98039ccd341
uuid:8a2e85cd-4dbd-4039-ab1f-d98039ccd341
issn:0011-4642

Subject:

matematika, derivace funkce, mathematics, derivatives (mathematics), generalized skew derivation, prime ring, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

Let R be a prime ring of characteristic different from 2, Qr its right Martindale quotient ring and C its extended centroid. Suppose that F, G are generalized skew derivations of R with the same associated automorphism α, and p(x1, ..., xn) is a non-central polynomial over C such that \left[ {F(x),\alpha (y)} \right] = G(\left[ {x,y} \right]). for all x,y\in \left \{ p\left ( r_{1},...,r_{n} \right ):r_{1},...,r_{n}\in R\right \}. The there exist \lambda \in C such that F(x) = G(x) = λα(x) for all X\in R., Vincenzo De Filippis., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

271-292

Source:

Czechoslovak Mathematical Journal | 2016 Volume:66 | Number:1

Harvested from:

CDK

Metadata only:

false