ps -e shows all processes on the system
ps -f shows full format of the current user processes (similar to -F)

The options you use depend on what you are looking for. I usually use
ps -elF and pipe it to grep to get what I am after. Most of the time it
is to see if a particular program is running or not -- like to check for
the web server, use ps -elF | grep -i apache | grep -v grep This gives
a full listing, filters out anything with apache, ignoring case, and
gets rid of the ps command itself (which will show up since it has
apache in it also). Just try the command options until you find some
that you like - remember that you can combine the options as I did in
the example.

As for accessing other computers on your network, you cannot do that if
the users exercise a modicum of security.