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q-Skew Derivations and Polynomial Identities

โœ Scribed by Chen-Lian Chuang; Tsiu-Kwen Lee

Publisher
Springer
Year
2005
Tongue
English
Weight
161 KB
Volume
116
Category
Article
ISSN
0025-2611

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๐Ÿ“œ SIMILAR VOLUMES

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โœ Chen-Lian Chuang ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 313 KB

We solve affirmatively a problem, raised by Kharchenko, on identities with compositions of skew derivations: We define the notion of trivial identities with compositions of skew derivations, which is unique in a certain sense. It is proved that if a prime ring R satisfies a nontrivial identity with

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Skew Derivations Whose Invariants Satisf
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If ฯƒ is an automorphism and ฮด is a q-skew ฯƒ-derivation of a ring R, then the subring of invariants is the set R ฮด = r โˆˆ R ฮด r = 0 . The main result of this paper is Theorem. Let R be a prime algebra with a q-skew ฯƒ-derivation ฮด, where ฮด and ฯƒ are algebraic. If R ฮด satisfies a P. I., then R satisfies