A <prime filter of a distributive lattice> $P$ is a proper <lattice filter>: it contains the top element, is upward closed, and is closed under finite meets. Primality means
$$
a\vee b\in P
\quad\Longrightarrow\quad
a\in P\ \text{or}\ b\in P.
$$

Solution

Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 120 / 3 / a / Solution

 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2023/iii/paper-120/3/a/solution