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sigma derivation (Definition)

If $ \sigma$ is a ring endomorphism on a ring $ R$, then a (left) $ \sigma$-derivation is an additive map $ \delta$ on $ R$ such that $ \delta(x \cdot y)=\sigma(x) \cdot \delta(y) + \delta(x) \cdot y$ for all $ x,y$ in $ R$.



"sigma derivation" is owned by antizeus.
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Cross-references: map, additive, endomorphism, ring
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This is version 7 of sigma derivation, born on 2001-08-26, modified 2003-09-20.
Object id is 72, canonical name is SigmaDerivation.
Accessed 2224 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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