Problem
You would like to install rvm as a multiple user installation in Debian.

Solution
You would need to do the following:

as root

• bash < <(curl -s https://rvm.beginrescueend.com/install/rvm)

for each individual user you want to use rvm

• in the user’s .bashrc or .bashrc_profile add the following at the bottom:
  [[ -s "/usr/local/rvm/scripts/rvm" ]] && source "/usr/local/rvm/scripts/rvm" # This loads RVM into a shell session.
• reload the .bashrc or .bashrc_profile by:
  source .bashrc|.bashrc_profile

and you should be able to do rvm -v.