There are a few considerations. Do you want the edit/view removed for all, or only for certain roles? In the email notifications, there is an option to check for permissions. Do you have that enabled or disabled? I think it will control it per the settings you have defined for each role.
Alternatively, you can edit the report settings to disable the edit/view options. You can create a copy of the report for the purpose of the email notification if you need the options visible in some reports but not in the email notifications.