Zero module
From AoPSWiki
A zero module is a module with one element, whose group structure
is that of the trivial group, and whose ring acts trivially upon it.
Technically speaking, for any ring 
there are infinitely many left zero
modules, but they are trivially isomorphic, so by abuse of language
we often refer to the zero module.
If is a ring, then every zero module is an initial object
and a terminal object in the category of left -modules.
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