Jordan τ-derivations of Prime rings
Date Issued
2014
Date
2014
Author(s)
Lin, Jheng-Huei
Abstract
In the thesis we study the structure of Jordan τ-derivations of prime rings. Precisely, let R be a noncommutative prime ring with Qms(R) the maximal symmetric ring of quotients of R and let τ be an anti-automorphism of R. Let δ:R→Qms(R) be a Jordan τ-derivation. We show that there exists a ∈ Qms(R) such that δ(x) = ax^τ-xa for all x ∈ R if one of the following conditions holds:
(1) R is not a GPI-ring.
(2) R is a division ring except when charR =/= 2 and dim_{C} R = 4.
(3) R is a centrally closed GPI-ring with charR =/= 2.
(4) R is a PI-ring with charR =/= 2.
Subjects
質環
喬登τ-導算
反自同構
泛函恆等式
GPI
PI
雙邊極大商環
Type
thesis
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