Return to Question

$\DeclareMathOperator\Alg{Alg}$Let $A$ be a commutative associative algebra with $1$ over $\mathbb{C}$. We define $\Alg(A,\mathbb{C}) $ to be the set of $\mathbb{C}$-algebra maps from $A$ to $\mathbb{C}$. Does the relationship between $\mathrm{Spec}(A)$ and $\Alg(A, \mathbb{C})$?

$\DeclareMathOperator\Alg{Alg}$Let $A$ be a commutative associative algebra with $1$ over $\mathbb{C}$. We define $\Alg(A,\mathbb{C}) $ to be the set of $\mathbb{C}$-algebra maps from $A$ to $\mathbb{C}$. What is the relationship between $\mathrm{Spec}(A)$ and $\Alg(A, \mathbb{C})$?

$\DeclareMathOperator\Alg{Alg}$Let $A$ be a commutative associative algebra with $1$ over $\mathbb{C}. We define $\Alg(A,\mathbb{C}) $ to be the set of algebra maps from $A$ to $\mathbb{C}$. Does the relationship between $\mathrm{Spec}(A)$ and $\Alg(A, \mathbb{C})$?

$\DeclareMathOperator\Alg{Alg}$Let $A$ be a commutative associative algebra with $1$ over $\mathbb{C}$. We define $\Alg(A,\mathbb{C}) $ to be the set of $\mathbb{C}$-algebra maps from $A$ to $\mathbb{C}$. Does the relationship between $\mathrm{Spec}(A)$ and $\Alg(A, \mathbb{C})$?

$\DeclareMathOperator\Alg{Alg}$Let $A$ be a commutative associative algebra with $1$. We define $\Alg(A,\mathbb{C}) $ to be the set of algebra maps from $A$ to $\mathbb{C}$. Does the relationship between $\mathrm{Spec}(A)$ and $\Alg(A, \mathbb{C})$?

$\DeclareMathOperator\Alg{Alg}$Let $A$ be a commutative associative algebra with $1$ over $\mathbb{C}. We define $\Alg(A,\mathbb{C}) $ to be the set of algebra maps from $A$ to $\mathbb{C}$. Does the relationship between $\mathrm{Spec}(A)$ and $\Alg(A, \mathbb{C})$?