[Home]History of Associative algebra

HomePage | Recent Changes | Preferences

Revision 6 . . (edit) November 22, 2001 1:59 am by Goochelaar [spelling]
Revision 5 . . November 22, 2001 1:54 am by AxelBoldt [+dimension]
Revision 4 . . November 21, 2001 6:34 am by AxelBoldt [+homomorphisms]
Revision 3 . . November 21, 2001 3:03 am by AxelBoldt [+examples]
Revision 2 . . November 21, 2001 2:50 am by AxelBoldt
Revision 1 . . September 30, 2001 8:40 pm by (logged).29.241.xxx [first edit]
  

Difference (from prior major revision) (minor diff, author diff)

Changed: 3c3

Defintion



Definition




Added: 11a12,13
The dimension of the associative algebra A over the field K is its dimension as a K-vector space.


Changed: 15c17,18
* The complex numbers form a unitary associative algebra over the real numbers, and so do the quaternions.
* The complex numbers form a 2-dimensional unitary associative algebra over the real numbers
* The quaternions form a 4-dimensional unitary associative algebra over the reals and a 2-dimensional unitary associative algebra over the complex numbers.

HomePage | Recent Changes | Preferences
Search: