Let
be a field (or, more generally, a division ring). A vector space
over
is a set with two operations,
and
, such that
Equivalently, a vector space is a module
over a ring
which is a field (or, more generally, a division ring).
The elements of
are called vectors, and the element
is called the zero vector of
.
This entry is a copy of the GNU FDL vector space article from PlanetMath. Author of the original article: djao. History page of the original is here
As of this snapshot date, this entry was owned by bloftin.