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Document Details
Document Type
:
Article In Journal
Document Title
:
On Lie ideals and Jordan generalized derivations of prime rings
On Lie ideals and Jordan generalized derivations of prime rings
Document Language
:
Arabic
Abstract
:
Let R be a ring and S a nonempty subset of R. An additive mapping F: R --> R is called a generalized derivation (resp. Jordan generalized derivation) on S if there exists a derivation d: R --> R such that F(xy) = F(x)y+xd(y) (resp. F(x(2))=F(x)x+xd(x)) holds for all x, y is an element of S. Suppose that R is a 2-torsion free prime ring and U a nonzero Lie ideal of R such that u(2) is an element of U for all u is an element of U. In the present paper it is shown that if F is a Jordan generalized derivation on U, then F is a generalized derivation on U.
Journal Name
:
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
Volume
:
34
Issue Number
:
2
Publishing Year
:
2003 AH
Added Date
:
Monday, June 23, 2008
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
أشرف مبارز زنقور
Ashraf M
Researcher
.
Nadeem-Ur-Rehman
Researcher
.
Ali S
Researcher
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