Let A be an associative algebra. (a) Show that for any a E A the map da : A → A defined by da(b) = ab – ba is a derivation. Such derivations are called inner derivations. (b) Show that inner derivations form an ideal in Der(A).
Let A be an associative algebra. (a) Show that for any a E A the map da : A → A defined by da(b) = ab – ba is a derivation. Such derivations are called inner derivations. (b) Show that inner derivations form an ideal in Der(A).
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.5: Applications
Problem 30EQ
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Der(A) means derivation of A. Find the explanation in the second image. Thanks.
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