Definition:Multiple Pointed Algebra

Definition
Let $R$ be a commutative ring with unity.

Let $I$ be a set.

An $I$-pointed algebra over $R$ is an ordered pair $(A, f)$ where:
 * $A$ is an algebra over $R$
 * $f : I \to A$ is a mapping

Also see

 * Definition:Pointed Algebra over Ring
 * Definition:Multiple Pointed Set