zero module
Let be a ring.
The abelian group which contains only an identity element (zero) gains a trivial -module structure, which we call the .
Every -module has an zero element and thus a submodule consisting of that element. This is called the zero submodule of .
Title | zero module |
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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 |