In file permissions, does the 'others' section not include owner and group owner?

I created a file called test and gave it the permissions ----rwxrwx or 077. The owner of test is a user called user and the group owner is root. user is not in the group root. The 7 in 077 means that all other people can read, write, and execute the file. When I log in as user, I can not read, write, or execute test.

Also, when I change test's permission to -rwx---rwx or 707 and change the owner to root and group owner to user, when I log in as user, I can not read, write, or execute test.

Is this because the 'all other people' section in 077 in the permissions do not include the owner or the group owner? Because if it does include the owner and the group owner, wouldn't the owner and the group owner be able to change the file even if their permission as owner or group owner is set to --- or 0?