central simple algebra
noun1
- A finite-dimensional associative algebra over some field K that is a simple algebra and whose centre is exactly K.
- The concept of central simple algebra over a field K represents a noncommutative analogue to that of extension field over K. In both cases, the object has no nontrivial two-sided ideals and has a distinguished field in its centre, although a central simple algebra need not be commutative and need not have inverses (does not have be a division algebra).
forms
central simple algebras