A <character of an algebra> is a nonzero multiplicative complex-linear functional $\varphi:A\to\mathbb C$. The <character space of an algebra> is
$$
\Phi_A=\{\varphi:A\to\mathbb C:\varphi\text{ is a character}\}.
$$
If $A$ is unital, multiplicativity and nonzeroness force $\varphi(1)=1$.

Solution

Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 106 / 2 / b / Solution

 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/iii/paper-106/2/b/solution