Just to double check and for anyone else who may run across similar issues be sure to check your drop down menu for either sharing with people or for the shareable link. 

You can also check/change this after you have shared the document under the Collaborators section

If you are on different account types there may be features in your document they don't have access to. Check out this article to learn more about the differences between account types: Account Types

If you are on compatible account types and still have troubles with them being able to view/edit the document try having them open it in a chrome incognito window. This will clear all cookies and extensions which may be part of the issue. 

For more information on sharing documents see this article: Share with collaborators in Lucid