# zero module

Let $R$ be a ring.

The abelian group which contains only an identity element (zero) gains a trivial $R$-module structure, which we call the .

Every $R$-module $M$ has an zero element and thus a submodule consisting of that element. This is called the zero submodule of $M$.

Title zero module ZeroModule 2013-03-22 12:01:42 2013-03-22 12:01:42 antizeus (11) antizeus (11) 6 antizeus (11) Definition msc 16D10 zero submodule ZeroIdeal