Definition:Pointed Algebra over Ring

Definition

Let $R$ be a commutative ring.

A pointed algebra over $R$ is an ordered pair $\struct {A, a}$ where:

$A$ is an algebra over $R$

$a$ is an element of $A$.

Also see

• Definition:Category of Pointed Algebras
• Definition:Multiple Pointed Algebra
• Definition:Pointed Set

• Results about pointed algebras can be found here.

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