Category:Definitions/Alternative Algebras
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This category contains definitions related to Alternative Algebras.
Related results can be found in Category:Alternative Algebras.
Let $\struct {A_R, \oplus}$ be an algebra over a ring $R$.
Then $\struct {A_R, \oplus}$ is an alternative algebra if and only if $\oplus$ is an alternative operation.
That is:
- For all $a, b \in A_R$, the subalgebra generated by $\set {a, b}$ is an associative algebra.
Pages in category "Definitions/Alternative Algebras"
This category contains only the following page.