Category:Alternative Algebras
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This category contains results about Alternative Algebras.
Definitions specific to this category can be found in Definitions/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 "Alternative Algebras"
The following 3 pages are in this category, out of 3 total.