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q skew derivation (Definition)

Let $ (\sigma, \delta)$ be a skew derivation on a ring $ R$. Let $ q$ be a central $ (\sigma, \delta)$-constant. Suppose further that $ \delta\sigma = q \cdot \sigma\delta$. Then we say that $ (\sigma, \delta)$ is a $ q$-skew derivation.



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See Also: $q$ skew polynomial ring
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Cross-references: ring, skew derivation
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This is version 5 of q skew derivation, born on 2001-10-19, modified 2003-09-20.
Object id is 375, canonical name is QSkewDerivation.
Accessed 1646 times total.

Classification:
AMS MSC: 16S36 (Associative rings and algebras :: Rings and algebras arising under various constructions :: Ordinary and skew polynomial rings and semigroup rings)
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