Generalized Skew Derivations Cocentralizing Multilinear Polynomials

Luisa Carini; Vincenzo De Filippis; Feng Wei

doi:10.1007/s00009-015-0631-2

Generalized Skew Derivations Cocentralizing Multilinear Polynomials

Luisa Carini, Vincenzo De Filippis, Feng Wei^*

^*Corresponding author for this work

School of Mathematics and Statistics

University of Messina

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

Let R be a prime ring of characteristic different from 2, Q_r be its right Martindale quotient ring and C be its extended centroid. Suppose that F, G are generalized skew derivations of R and f(x₁, … , x_n) is a non-central multilinear polynomial over C with n non-commuting variables. If F and G satisfy the following condition: (Formula Presented.) for all r₁, … , r_n∈ R, then we describe all possible forms of F and G.

Original language	English
Pages (from-to)	2397-2424
Number of pages	28
Journal	Mediterranean Journal of Mathematics
Volume	13
Issue number	5
DOIs	https://doi.org/10.1007/s00009-015-0631-2
Publication status	Published - 1 Oct 2016

Keywords

Generalized skew derivation
multilinear polynomial
prime ring

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10.1007/s00009-015-0631-2

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title = "Generalized Skew Derivations Cocentralizing Multilinear Polynomials",

abstract = "Let R be a prime ring of characteristic different from 2, Qr be its right Martindale quotient ring and C be its extended centroid. Suppose that F, G are generalized skew derivations of R and f(x1, … , xn) is a non-central multilinear polynomial over C with n non-commuting variables. If F and G satisfy the following condition: (Formula Presented.) for all r1, … , rn∈ R, then we describe all possible forms of F and G.",

keywords = "Generalized skew derivation, multilinear polynomial, prime ring",

author = "Luisa Carini and {De Filippis}, Vincenzo and Feng Wei",

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year = "2016",

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T1 - Generalized Skew Derivations Cocentralizing Multilinear Polynomials

AU - Carini, Luisa

AU - De Filippis, Vincenzo

AU - Wei, Feng

PY - 2016/10/1

Y1 - 2016/10/1

N2 - Let R be a prime ring of characteristic different from 2, Qr be its right Martindale quotient ring and C be its extended centroid. Suppose that F, G are generalized skew derivations of R and f(x1, … , xn) is a non-central multilinear polynomial over C with n non-commuting variables. If F and G satisfy the following condition: (Formula Presented.) for all r1, … , rn∈ R, then we describe all possible forms of F and G.

AB - Let R be a prime ring of characteristic different from 2, Qr be its right Martindale quotient ring and C be its extended centroid. Suppose that F, G are generalized skew derivations of R and f(x1, … , xn) is a non-central multilinear polynomial over C with n non-commuting variables. If F and G satisfy the following condition: (Formula Presented.) for all r1, … , rn∈ R, then we describe all possible forms of F and G.

KW - Generalized skew derivation

KW - multilinear polynomial

KW - prime ring

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U2 - 10.1007/s00009-015-0631-2

DO - 10.1007/s00009-015-0631-2

M3 - Article

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VL - 13

SP - 2397

EP - 2424

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

IS - 5

ER -

Generalized Skew Derivations Cocentralizing Multilinear Polynomials

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Keywords

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