TITLE: Are the elements of a module also called vectors?
QUESTION [8 upvotes]: Are the elements of a module also called vectors? Or if someone says 'vector', are they talking only about a vector space? If no context is given, are there some standard assumptions?

REPLY [6 votes]: No.  Normally we do not have special names like this ...
Elements of a group are called groupies
Elements of a ring are called ringlets