Category:Definitions/Associative Algebras

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


Let $R$ be a commutative ring.

Let $\struct {A_R, *}$ be an algebra over $R$.


Then $\struct {A_R, *}$ is an associative algebra if and only if $*$ is an associative operation.

That is:

$\forall a, b, c \in A_R: \paren {a * b} * c = a * \paren {b * c}$

Subcategories

This category has the following 2 subcategories, out of 2 total.

Pages in category "Definitions/Associative Algebras"

The following 4 pages are in this category, out of 4 total.