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http://dx.doi.org/10.5666/KMJ.2015.55.1.21

A Note on Skew-commuting Automorphisms in Prime Rings  

ur Rehman, Nadeem (Department of Mathematics, Aligarh Muslim University)
Bano, Tarannum (Department of Mathematics, Aligarh Muslim University)
Publication Information
Kyungpook Mathematical Journal / v.55, no.1, 2015 , pp. 21-28 More about this Journal
Abstract
Let R be a prime ring with center Z, I a nonzero ideal of R, and ${\sigma}$ a non-trivial automorphism of R such that $\{(x{\circ}y)^{\sigma}-(x{\circ}y)\}^n{\in}Z$ for all $x,y{\in}I$. If either char(R) > n or char (R) = 0, then R satisfies $s_4$, the standard identity in 4 variables.
Keywords
Prime ring; Ideal; Automorphism;
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Times Cited By KSCI : 1  (Citation Analysis)
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