How to make ssh to kill remote process when I interrupt ssh itself?

Eventual I found a solution like that:

#/bin/bash
ssh -t -x root@db-host 'mysqldump db' -r file.sql

So - I use '-t' instead of '-n'. Removing '-n', or using different user than root does not help.

When your ssh session ends, your shell will get a SIGHUP. (hang-up signal). You need to make sure it sends that on to all processes started from it. For bash, try shopt -s huponexit; your_command. That may not work, because the man page says huponexit only works for interactive shells.

I remember running into this with users running jobs on my cluster, and whether they had to use nohup or not (to get the opposite behaviour of what you want) but I can't find anything in the bash man page about whether child processes ignore SIGHUP by default. Hopefully huponexit will do the trick. (You could put that shopt in your .bashrc, instead of on the command line, I think.)

Your ssh -t should work, though, since when the connection closes, reads from the terminal will get EOF or an error, and that makes most programs exit.