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Document Details
Document Type
:
Article In Journal
Document Title
:
On left (θ, φ)-derivations of prime rings
On left (θ, φ)-derivations of prime rings
Subject
:
Mathematics
Document Language
:
English
Abstract
:
Let R be a 2-torsion free prime ring. Suppose that θ, φ are automorphisms of R. In the present paper it is established that if R admits a nonzero Jordan left (θ,θ)-derivation, then R is commutative. Further, as an application of this resul it is shown that every Jordan left (θ,θ)-derivation on R is a left (θ,θ)-derivation on R. Finally, in case of an arbitrary prime ring it is proved that if R admits a left (θ, φ)-derivation which acts also as a homomorphism (resp. anti-homomorphism) on a nonzero ideal of R, then d = 0 on R.
ISSN
:
0044-8753
Journal Name
:
Archivum Mathematicum
Volume
:
41
Issue Number
:
2
Publishing Year
:
1426 AH
2005 AD
Article Type
:
Article
Added Date
:
Saturday, December 31, 2011
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
محمد أشرف
Ashraf, Mohammad
Researcher
Doctorate
mashraf80@hotmail.com
Files
File Name
Type
Description
31875.pdf
pdf
Abstract
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