Category:Power-Associative Algebras
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This category contains results about Power-Associative Algebras.
Definitions specific to this category can be found in Definitions/Power-Associative Algebras.
Let $\struct {A_R, \oplus}$ be an algebra over a ring $R$.
Then $\struct {A_R, \oplus}$ is a power-associative algebra if and only if $\oplus$ is power-associative.
That is:
- For all $a \in A_R$, the subalgebra generated by $\set a$ is an associative algebra.
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