Posner's second theorem with two variable σ-derivations
This study is an attempt to prove the following result: Suppose that R is a 2-torsion free prime ring and Φ:R×R→R is a left two variable σ-derivation such that σ is a monomorphism, Φ(R×R)⊆σ(R), and [σ(b) − b, x] = 0 for all b∈I and x∈R, where I is an arbitrary fixed non-zero ideal of R. Moreover, as...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2017-03-01
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| Series: | Journal of Taibah University for Science |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S165836551630005X |