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Document Details
Document Type
:
Article In Journal
Document Title
:
On Lie ideals and generalized (theta,phi)-derivations in prime rings
On Lie ideals and generalized (theta,phi)-derivations in prime rings
Document Language
:
Arabic
Abstract
:
Let R be a prime ring with characteristic different from two and S a non-empty subset of R. Suppose that theta, phi are endomorphisms of R. An additive mapping F : R --> R is called a generalized (theta, phi)-derivation (resp. generalized Jordan (theta, phi)-derivation) on S if there exists a (theta, phi)-derivation d : R --> R such that F(xy) = F(x)theta(y) + phi(x)d(y) (resp. F(x(2)) = F(x)(x) + phi(x)d(x)), holds for all x, y epsilon S. Suppose that U is a Lie ideal of R such that u(2) epsilon U, for all u epsilon U. In the present paper, it is shown if theta is an automorphism of R then every generalized Jordan (theta, phi)-derivation F on U is a generalized (theta, phi)-derivation on U.
Journal Name
:
COMMUNICATIONS IN ALGEBRA
Volume
:
32
Issue Number
:
8
Publishing Year
:
2004 AH
Added Date
:
Friday, June 20, 2008
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
أشرف مبارز زنقور
Ashraf M
Researcher
.
Ali A
Researcher
.
Ali S
Researcher
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