Category:Definitions/Commutative Algebras
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This category contains definitions related to Commutative Algebras in the context of Abstract Algebra.
Related results can be found in Category:Commutative Algebras.
Let $R$ be a commutative ring.
Let $\struct {A_R, \oplus}$ be an algebra over $R$.
Then $\struct {A_R, \oplus}$ is a commutative algebra if and only if $\oplus$ is a commutative operation.
That is:
- $\forall a, b \in A_R: a \oplus b = b \oplus a$
Subcategories
This category has only the following subcategory.
Pages in category "Definitions/Commutative Algebras"
The following 2 pages are in this category, out of 2 total.