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Derivation

A derivation is a sequence of steps, logical or computational, from one result to another. The word derivation comes from the word "derive."

"Derivation" can also refer to a particular type of operator used to define a derivation algebra on a ring or algebra. In particular, let be a Banach algebra and be a Banach -bimodule. Any element of

is called a bounded derivation of in and any element of

is called an inner derivation.

See also

Derivation Algebra

Portions of this entry contributed by Todd Rowland

Portions of this entry contributed by Mohammad Sal Moslehian

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References

Helemskii, A. Ya. The Homology of Banach and Topological Algebras. Dordrecht, Netherlands: Kluwer, 1989.Helemskii, A. Ya. Banach and Locally Convex Algebras. Oxford, England: Oxford University Press, 1993.Helemskii, A. Ya. "The Homology in Algebra of Analysis." In Handbook of Algebra, Vol. 2. Amsterdam, Netherlands: Elsevier, 1997.

Derivation

Cite this as:

Moslehian, Mohammad Sal; Rowland, Todd; and Weisstein, Eric W. "Derivation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Derivation.html