Definition:Unital Associative Commutative Algebra/Definition 2

Definition

Let $R$ be a commutative ring with unity.

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.

Also see

• Equivalence of Definitions of Unital Associative Commutative Algebra

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