| Orthogonality of Generalized $(\theta,\phi)$-Derivations on Ideals |
| Received:March 25, 2009 Revised:January 26, 2010 |
| Key Words:
orthogonal generalized $(\theta,\phi)$-derivation semiprime ring.
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| Abstract: |
| In this paper, necessary and sufficient conditions concerning the orthogonality and the composition of a couple of generalized $(\theta,\phi)$-derivations on a nonzero ideal of a semiprime ring are presented. These results are generalizations of several results of Bre\v{s}ar and Vukman, which are related to a theorem of Posner on the product of two derivations on a prime ring. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2011.02.015 |
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