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
Canonical name	ZeroModule
Date of creation	2013-03-22 12:01:42
Last modified on	2013-03-22 12:01:42
Owner	antizeus (11)
Last modified by	antizeus (11)
Numerical id	6
Author	antizeus (11)
Entry type	Definition
Classification	msc 16D10
Synonym	zero submodule
Related topic	ZeroIdeal