A Note on Skew-commuting Automorphisms in Prime Rings

Let R be a prime ring with center Z, I a nonzero ideal of R, and σ a non- trivial automorphism of R such that {(x ◦ y)σ − (x ◦ y)}n ∈ Z for all x, y ∈ I. If either char(R) > n or char (R) = 0, then R satisfies s4, the standard identity in 4 variables. KCI Citation Count: 0

Saved in:
Bibliographic Details
Published inKyungpook mathematical journal Vol. 55; no. 1; pp. 21 - 28
Main Authors ur Rehman, Nadeem, Bano, Tarannum
Format Journal Article
LanguageEnglish
Published 경북대학교 자연과학대학 수학과 01.03.2015
Subjects
수학
Online AccessGet full text

Cover

More Information
Summary:Let R be a prime ring with center Z, I a nonzero ideal of R, and σ a non- trivial automorphism of R such that {(x ◦ y)σ − (x ◦ y)}n ∈ Z for all x, y ∈ I. If either char(R) > n or char (R) = 0, then R satisfies s4, the standard identity in 4 variables. KCI Citation Count: 0
Bibliography:G704-000128.2015.55.1.010
ISSN:1225-6951
0454-8124
DOI:10.5666/KMJ.2015.55.1.21