PlanetMath: sigma, delta constant

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delta constant sigma

(Definition)

If $(\sigma, \delta)$ is a skew derivation on a ring , then a $(\sigma, \delta)$ -constant is an element of such that $\sigma(q)=q$ and $\delta(q)=0$ .

Note: If is a $(\sigma, \delta)$ -constant, then it follows that $\sigma(q \cdot x)=q \cdot \sigma(x)$ and $\delta(q \cdot x)=q \cdot \delta(x)$ for all in .

"delta constant sigma" is owned by antizeus.

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Cross-references: ring, skew derivation
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This is version 3 of delta constant sigma, born on 2001-10-19, modified 2003-09-20.
Object id is 374, canonical name is SigmaDeltaConstant.
Accessed 1528 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)

Pending Errata and Addenda

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