Category:Unital Associative Commutative Algebras
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This category contains results about Unital Associative Commutative Algebras.
Definitions specific to this category can be found in Definitions/Unital Associative Commutative Algebras.
Let $R$ be a commutative ring with unity.
Definition 1
A unital associative commutative algebra over $R$ is an algebra $\struct {A, *}$ over $R$ that is unital, associative and commutative and whose underlying module is unitary.
Definition 2
A unital associative commutative algebra over $R$ is a ring under $A$, that is, an ordered pair $\struct {A, f}$ where:
- $A$ is a commutative ring with unity
- $f : R \to A$ is a unital ring homomorphism.
Subcategories
This category has only the following subcategory.
Pages in category "Unital Associative Commutative Algebras"
This category contains only the following page.