ID | 33124 |
フルテキストURL | |
著者 |
Rehman, Nadeem ur
University Kaiserslautern
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抄録 | The concept of derivations as well as of generalized inner derivations have been generalized as an additive function F : R → R satisfying F(xy) = F(x)y + xd(y) for all x, y ∈ R, where d is a derivation on R, such a function F is said to be a generalized derivation. In the present paper we have discussed the commutativity of prime rings admitting a generalized derivation F satisfying (i) [F(x), x] = 0, (ii) F([x, y]) = [x, y], and (iii) F(x ◦ y) = x ◦ y for all x, y in some appropriate subset of R. |
キーワード | prime rings
generalized derivations
derivations
ideals
Lie ideals and commutativity.
|
発行日 | 2002-01
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出版物タイトル |
Mathematical Journal of Okayama University
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巻 | 44巻
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号 | 1号
|
出版者 | Department of Mathematics, Faculty of Science, Okayama University
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開始ページ | 43
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終了ページ | 50
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ISSN | 0030-1566
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NCID | AA00723502
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資料タイプ |
学術雑誌論文
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言語 |
英語
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論文のバージョン | publisher
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査読 |
有り
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Submission Path | mjou/vol44/iss1/4
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JaLCDOI |