Category:Definitions/Conjugations on Algebras

This category contains definitions related to Conjugations on Algebras.
Related results can be found in Category:Conjugations on Algebras.

Let $A = \struct {A_F, \oplus}$ be an algebra over a field $F$.

Let $C: A_F \to A_F$ be a mapping such that:

$\forall a \in A: \map C {\map C a} = a$

$\forall a, b \in A: \map C {a \oplus b} = \map C b \oplus \map C a$

Then $C$ is called a conjugation on $A$.