Given $$(A=\{1, 3, 5, 15, 25, 33, 55, 99, 165\},\mid)\colon$$
- Make the Hasse Diagram.
- Given $B=\{5, 15, 25, 33\}\subseteq A$ find maximals, minimals, lower and upper bound sets, infimum, supremum and indicate (if exist) maximum and/or minimum.
The Hasse Diagram is:
We draw $B$:
- Maximals of $B$: $15,25,33$.
- Minimals of $B$: $5$.
- Lower bound set: $\{1\}$.
- Upper bound set: $\{99,165\}$.
- Infimum: $1$.
- Maximum: $165$.
- Minimum: $5$.
Is it correct? Please ask me any definition that you don't understand/have.