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^*

^*此作品的通讯作者

数学学院

University of Messina

科研成果: 期刊稿件 › 文章 › 同行评审

12 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	2397-2424
页数	28
期刊	Mediterranean Journal of Mathematics
卷	13
期	5
DOI	https://doi.org/10.1007/s00009-015-0631-2
出版状态	已出版 - 1 10月 2016

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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",

note = "Publisher Copyright: {\textcopyright} 2015, Springer Basel.",

year = "2016",

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day = "1",

doi = "10.1007/s00009-015-0631-2",

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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

AN - SCOPUS:84944548722

SN - 1660-5446

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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