rational rank of a group
In the following, is an abelian group.
The group is called the divisible hull of .
The elements are called rationally independent if they are linearly independent over , i.e. for all :
The dimension of over is called the rational rank of .
We denote the rational rank of by .
The rational rank of the group can be defined as the least upper bound (finite or infinite) of the cardinals such that there exist rationally independent elements in .
|Title||rational rank of a group|
|Date of creation||2013-03-22 16:53:25|
|Last modified on||2013-03-22 16:53:25|
|Last modified by||polarbear (3475)|